@article{https://resolver.caltech.edu/CaltechAUTHORS:20230125-514112400.2, title = "Lifts of Borel actions on quotient spaces", journal = "Israel Journal of Mathematics", year = "2022", url = "https://resolver.caltech.edu/CaltechAUTHORS:20230125-514112400.2", id = "record", issn = "0021-2172", doi = "10.1007/s11856-022-2434-z", volume = "251" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20220107-488030400, title = "On Polish groups admitting non-essentially countable actions", journal = "Ergodic Theory and Dynamical Systems", year = "2022", url = "https://resolver.caltech.edu/CaltechAUTHORS:20220107-488030400", id = "record", issn = "0143-3857", doi = "10.1017/etds.2020.133", volume = "42" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170712-090422831, title = "Weak containment of measure-preserving group actions", journal = "Ergodic Theory and Dynamical Systems", year = "2020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170712-090422831", id = "record", issn = "0143-3857", doi = "10.1017/etds.2019.26", volume = "40" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20210707-142840752, title = "Trends in Set Theory", chapter = "Quasi-invariant measures for continuous group actions", year = "2020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20210707-142840752", id = "record", isbn = "978-1-4704-4332-0", doi = "10.1090/conm/752/15132" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20191205-100802061, title = "Co-induction and invariant random subgroups", journal = "Groups, Geometry, and Dynamics", year = "2019", url = "https://resolver.caltech.edu/CaltechAUTHORS:20191205-100802061", id = "record", issn = "1661-7207", doi = "10.4171/GGD/517", volume = "13" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170712-083759861, title = "The complexity of topological group isomorphism", journal = "Journal of Symbolic Logic", year = "2018", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170712-083759861", id = "record", issn = "0022-4812", doi = "10.1017/jsl.2018.25", volume = "83" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170712-102415675, title = "Structurable equivalence relations", journal = "Fundamenta Mathematicae", year = "2018", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170712-102415675", id = "record", issn = "0016-2736", doi = "10.4064/fm428-7-2017", volume = "242" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170712-091809776, title = "Invariant random subgroups and action versus representation maximality", journal = "Proceedings of the American Mathematical Society", year = "2017", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170712-091809776", id = "record", issn = "0002-9939", doi = "10.1090/proc/13591", volume = "145" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20170630-111205546, title = "Foundations of Mathematics: Logic at Harvard: Essays in Honor of W. Hugh Woodin's 60th Birthday", chapter = "Ramsey properties of finite measure algebras and topological dynamics of the group of measure preserving automorphisms: Some results and an open problem", year = "2017", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170630-111205546", id = "record", isbn = "978-1-4704-2256-1", doi = "10.1090/conm/690" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20161130-102008360, title = "Borel equivalence relations and cardinal algebras", journal = "Fundamenta Mathematicae", year = "2016", url = "https://resolver.caltech.edu/CaltechAUTHORS:20161130-102008360", id = "record", issn = "0016-2736", doi = "10.4064/fm242-4-2016", volume = "235" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20180806-092249394, title = "Ordinal Definability and Recursion Theory: The Cabal Seminar", chapter = "On the theory of Π13 sets of reals, II", year = "2016", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180806-092249394", id = "record", isbn = "9781139519694", doi = "10.1017/CBO9781139519694.007" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20180806-100432570, title = "Ordinal Definability and Recursion Theory: The Cabal Seminar", chapter = "Introduction to Q-theory", year = "2016", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180806-100432570", id = "record", isbn = "9781139519694", doi = "10.1017/CBO9781139519694.006" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20180806-100030179, title = "Ordinal Definability and Recursion Theory: The Cabal Seminar", chapter = "Preface", year = "2016", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180806-100030179", id = "record", isbn = "9781139519694", doi = "10.1017/CBO9781139519694.001" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20180806-093515411, title = "Ordinal Definability and Recursion Theory: The Cabal Seminar", chapter = "On Spector classes", year = "2016", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180806-093515411", id = "record", isbn = "9781139519694", doi = "10.1017/CBO9781139519694.013" } @book{https://resolver.caltech.edu/CaltechAUTHORS:20180806-095451417, title = "Ordinal Definability and Recursion Theory: The Cabal Seminar", year = "2016", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180806-095451417", id = "record", isbn = "9781139519694", doi = "10.1017/CBO9781139519694" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20150107-075104911, title = "Random orderings and unique ergodicity of automorphism groups", journal = "Journal of the European Mathematical Society", year = "2014", url = "https://resolver.caltech.edu/CaltechAUTHORS:20150107-075104911", id = "record", issn = "1435-9855", doi = "10.4171/JEMS/483", volume = "16" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20131216-115036936, title = "Stationary probability measures and topological realizations", journal = "Israel Journal of Mathematics", year = "2013", url = "https://resolver.caltech.edu/CaltechAUTHORS:20131216-115036936", id = "record", issn = "0021-2172", doi = "10.1007/s11856-013-0025-8", volume = "198" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130405-083026269, title = "Ultraproducts of measure preserving actions and graph combinatorics", journal = "Ergodic Theory and Dynamical Systems", year = "2013", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130405-083026269", id = "record", issn = "0143-3857", doi = "10.1017/S0143385711001143", volume = "33" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130521-131021822, title = "Measurable chromatic and independence numbers for ergodic graphs and group actions", journal = "Groups, Geometry, and Dynamics", year = "2013", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130521-131021822", id = "record", issn = "1661-7207", doi = "10.4171/GGD/179", volume = "7" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20180803-160520242, title = "European Congress of Mathematics, Kraków, 2-7 July, 2012", chapter = "Dynamics of non-archimedean Polish groups", year = "2012", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180803-160520242", id = "record", isbn = "978-3-03719-120-0", doi = "10.4171/120" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20120716-102713726, title = "Weak containment in the space of actions of a free group", journal = "Israel Journal of Mathematics", year = "2012", url = "https://resolver.caltech.edu/CaltechAUTHORS:20120716-102713726", id = "record", issn = "0021-2172", doi = "10.1007/s11856-011-0182-6", volume = "189" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130301-104948205, title = "Trigonometric series and set theory", journal = "Roczniki. Seria 2: Wiadomości Matematyczne", year = "2012", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130301-104948205", id = "record", issn = "2080-5519", volume = "48" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20121126-103335875, title = "Dynamical properties of the automorphism groups of the random poset and random distributive lattice", journal = "Fundamenta Mathematicae", year = "2012", url = "https://resolver.caltech.edu/CaltechAUTHORS:20121126-103335875", id = "record", issn = "0016-2736", doi = "10.4064/fm218-1-4", volume = "218" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20180810-151353411, title = "Appalachian Set Theory: 2006-2012", chapter = "The complexity of classification problems in ergodic theory", year = "2012", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180810-151353411", id = "record", isbn = "9781139843065", doi = "10.1017/CBO9781139208574.010" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20180816-160145289, title = "Wadge Degrees and Projective Ordinals: The Cabal Seminar, Volume II", chapter = "Homogeneous trees and projective scales", year = "2011", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180816-160145289", id = "record", isbn = "9781139028073", doi = "10.1017/cbo9781139028073.014" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20180817-104143981, title = "Wadge Degrees and Projective Ordinals: The Cabal Seminar, Volume II", chapter = "Preface", year = "2011", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180817-104143981", id = "record", isbn = "9781139028073", doi = "10.1017/cbo9781139028073.001" } @book{https://resolver.caltech.edu/CaltechAUTHORS:20180817-104145629, title = "Wadge Degrees and Projective Ordinals: The Cabal Seminar, Volume II", year = "2011", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180817-104145629", id = "record", isbn = "9781139028073", doi = "10.1017/cbo9781139028073" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20180817-104143730, title = "Wadge Degrees and Projective Ordinals: The Cabal Seminar, Volume II", chapter = "Original Numbering", year = "2011", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180817-104143730", id = "record", isbn = "9781139028073", doi = "10.1017/cbo9781139028073.021" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20180817-104143314, title = "Wadge Degrees and Projective Ordinals: The Cabal Seminar, Volume II", chapter = "A note on Wadge degrees", year = "2011", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180817-104143314", id = "record", isbn = "9781139028073", doi = "10.1017/cbo9781139028073.004" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20180816-103208698, title = "In Memoriam: Gregory Hjorth, 1963-2011", journal = "Bulletin of Symbolic Logic", year = "2011", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180816-103208698", id = "record", issn = "1079-8986", volume = "17" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20180810-140140332, title = "Wadge Degrees and Projective Ordinals: The Cabal Seminar, Volume II", chapter = "The axiom of determinacy and the prewellordering property", year = "2011", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180810-140140332", id = "record", isbn = "9780521762038", doi = "10.1017/CBO9781139028073.008" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20180810-084248820, title = "Wadge Degrees and Projective Ordinals: The Cabal Seminar, Volume II", chapter = "AD and projective ordinals", year = "2011", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180810-084248820", id = "record", isbn = "9780521762038", doi = "10.1017/CBO9781139028073.015" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20090908-083705826, title = "Subequivalence relations and positive-definite functions", journal = "Groups, Geometry, and Dynamics", year = "2009", url = "https://resolver.caltech.edu/CaltechAUTHORS:20090908-083705826", id = "record", issn = "1661-7207", doi = "10.48550/arXiv.0806.0430", volume = "3" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20130731-151623397, title = "The Cabal Seminar. Volume I - Games, Scales, and Suslin Cardinals", chapter = "The equivalence of partition properties and determinacy", year = "2008", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130731-151623397", id = "record", isbn = "9780521899512" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20130731-150603194, title = "The Cabal Seminar. 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"10.1017/cbo9780511546488.016" } @article{https://resolver.caltech.edu/CaltechAUTHORS:KECpams08, title = "Amenable actions and almost invariant sets", journal = "Proceedings of the American Mathematical Society", year = "2008", url = "https://resolver.caltech.edu/CaltechAUTHORS:KECpams08", id = "record", issn = "0002-9939", doi = "10.1090/S0002-9939-07-09116-2", volume = "136" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20180810-141457603, title = "Games, Scales and Suslin Cardinals: The Cabal Seminar, Volume I", chapter = "The axiom of determinacy, strong partition properties, and nonsingular measures", year = "2008", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180810-141457603", id = "record", isbn = "9780521899512", doi = "10.1017/CBO9780511546488.017" } @book{https://resolver.caltech.edu/CaltechAUTHORS:20180810-080825868, title = "Games, Scales and Suslin Cardinals: The Cabal Seminar, Volume I", year = "2008", url = 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theorem for measures", year = "2008", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180810-133923114", id = "record", isbn = "9780521899512", doi = "10.1017/CBO9780511546488.020" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130522-084128445, title = "Turbulence, amalgamation, and generic automorphisms of homogeneous structures", journal = "Proceedings of the London Mathematical Society", year = "2007", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130522-084128445", id = "record", issn = "0024-6115", doi = "10.1112/plms/pdl007", volume = "94" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130612-132700025, title = "Unitary representations and modular actions", journal = "Journal of Mathematical Sciences", year = "2007", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130612-132700025", id = "record", issn = "1072-3374", doi = "10.1007/s10958-007-0449-y", volume = "140" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130610-145818965, title = "Rigidity theorems for actions of product groups and countable Borel equivalence relations", journal = "Memoirs of the American Mathematical Society", year = "2005", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130610-145818965", id = "record", issn = "0065-9266", volume = "177" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130517-135759630, title = "Fraïssé Limits, Ramsey Theory, and topological dynamics of automorphism groups", journal = "Geometric and Functional Analysis", year = "2005", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130517-135759630", id = "record", issn = "1016-443X", doi = "10.1007/s00039-005-0503-1", volume = "15" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130516-152757565, title = "On the classification of Polish metric spaces up to isometry", journal = "Memoirs of the American Mathematical Society", year = "2003", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130516-152757565", id = "record", issn = "0065-9266", volume = "161" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20130612-095807587, title = "Analysis and Logic", chapter = "Actions of Polish Groups and Classification Problems", year = "2003", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130612-095807587", id = "record", isbn = "9780521648615" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20180816-160145605, title = "Analysis and Logic", chapter = "Introduction", year = "2003", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180816-160145605", id = "record", isbn = "9781107360006", doi = "10.1017/cbo9781107360006.031" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20180810-150243521, title = "Analysis and Logic", chapter = "Basic Model Theory I", year = "2003", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180810-150243521", id = "record", isbn = "9780521648615", doi = "10.1017/CBO9781107360006.008" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20180817-104144743, title = 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First Main Theorem", year = "2003", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180817-104145215", id = "record", isbn = "9781107360006", doi = "10.1017/cbo9781107360006.028" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20180810-081922189, title = "Analysis and Logic", chapter = "Actions of Locally Compact Groups", year = "2003", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180810-081922189", id = "record", isbn = "9780521648615", doi = "10.1017/CBO9781107360006.021" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20180815-101343549, title = "Analysis and Logic", chapter = "The General Glimm-Effros Dichotomy", year = "2003", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180815-101343549", id = "record", isbn = "9780521648615", doi = "10.1017/CBO9781107360006.018" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20180810-135054931, title = "Analysis and Logic", chapter = "Asymptotic structure", year = "2003", url = 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"10.1017/CBO9781107360006.019" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130528-105759569, title = "Universal minimal flows of automorphism groups", journal = "Bulletin Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques", year = "2003", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130528-105759569", id = "record", issn = "0561-7332", volume = "28" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20180810-085559683, title = "Analysis and Logic", chapter = "Alternative Formulations of the Theory", year = "2003", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180810-085559683", id = "record", isbn = "9780521648615", doi = "10.1017/CBO9781107360006.013" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20180816-160145747, title = "Analysis and Logic", chapter = "Isomorphic Ultrapowers", year = "2003", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180816-160145747", id = "record", isbn = "9781107360006", doi = 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isbn = "9781107360006", doi = "10.1017/cbo9781107360006.025" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20180810-082937079, title = "Analysis and Logic", chapter = "Actions of the Infinite Symmetric Group", year = "2003", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180810-082937079", id = "record", isbn = "9780521648615", doi = "10.1017/CBO9781107360006.022" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20180816-160145668, title = "Analysis and Logic", chapter = "Introduction", year = "2003", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180816-160145668", id = "record", isbn = "9781107360006", doi = "10.1017/cbo9781107360006.003" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20180810-103955912, title = "Analysis and Logic", chapter = "Background material: The 60's and 70's", year = "2003", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180810-103955912", id = "record", isbn = "9780521648615", doi = "10.1017/CBO9781107360006.032" } 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"Israel Journal of Mathematics", year = "2000", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130521-095650096", id = "record", issn = "0021-2172", doi = "10.1007/BF02773566", volume = "117" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20111201-082818221, title = "On the Classification Problem for Rank 2 Torsion-Free Abelian Groups", journal = "Journal of the London Mathematical Society", year = "2000", url = "https://resolver.caltech.edu/CaltechAUTHORS:20111201-082818221", id = "record", issn = "0024-6107", doi = "10.1112/S0024610700001411", volume = "62" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130524-130949007, title = "Linear algebraic groups and countable Borel equivalence relations", journal = "Journal of the American Mathematical Society", year = "2000", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130524-130949007", id = "record", issn = "0894-0347", doi = "10.1090/S0894-0347-00-00341-6", volume = "13" } 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@article{https://resolver.caltech.edu/CaltechAUTHORS:20130522-095020744, title = "New Directions in Descriptive Set Theory", journal = "Bulletin of Symbolic Logic", year = "1999", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130522-095020744", id = "record", issn = "1079-8986", doi = "10.2307/421088", volume = "5" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130517-100529842, title = "Borel Chromatic Numbers", journal = "Advances in Mathematics", year = "1999", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130517-100529842", id = "record", issn = "0001-8708", doi = "10.1006/aima.1998.1771", volume = "141" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130517-113148990, title = "Rigidity properties of Borel ideals on the integers", journal = "Topology and Its Applications", year = "1998", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130517-113148990", id = "record", issn = "0166-8641", doi = "10.1016/S0166-8641(97)00150-8", volume = "85" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130517-142221264, title = "Borel equivalence relations induced by actions of the symmetric group", journal = "Annals of Pure and Applied Logic", year = "1998", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130517-142221264", id = "record", issn = "0168-0072", doi = "10.1016/S0168-0072(97)00049-3", volume = "92" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130528-105907286, title = "Measurable enumeration of eigenelements", journal = "Applicable Analysis: An International Journal", year = "1998", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130528-105907286", id = "record", issn = "0003-6811", volume = "71" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20130522-083928827, title = "Proceedings of the Sixth Asian Logic Conference", chapter = "The descriptive classification of some classes of C∗-algebras", year = "1998", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130522-083928827", id = "record", isbn = "9789810234324" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130520-144530065, title = "New Dichotomies for Borel Equivalence Relations", journal = "Bulletin of Symbolic Logic", year = "1997", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130520-144530065", id = "record", issn = "1079-8986", doi = "10.2307/421148", volume = "3" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130521-135837396, title = "On the concept of π^1\_1-completeness", journal = "Proceedings of the American Mathematical Society", year = "1997", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130521-135837396", id = "record", issn = "0002-9939", doi = "10.1090/S0002-9939-97-03770-2", volume = "125" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130521-133826211, title = "The classification of hypersmooth Borel equivalence relations", journal = "Journal of the American Mathematical Society", year = "1997", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130521-133826211", id = "record", issn = "0894-0347", doi = "10.1090/S0894-0347-97-00221-X", volume = "10" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130517-141337004, title = "Borel equivalence relations and classifications of countable models", journal = "Annals of Pure and Applied Logic", year = "1996", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130517-141337004", id = "record", issn = "0168-0072", doi = "10.1016/S0168-0072(96)00006-1", volume = "82" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20180817-132523681, title = "The Descriptive Set Theory of Polish Group Actions", chapter = "Preface", year = "1996", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180817-132523681", id = "record", isbn = "9780521576055", doi = "10.1017/CBO9780511735264.001" } @book{https://resolver.caltech.edu/CaltechAUTHORS:20180815-091513340, title = "The Descriptive Set Theory of Polish Group Actions", year = "1996", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180815-091513340", id = "record", isbn = "9780521576055", doi = "10.1017/CBO9780511735264" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20180810-083346365, title = "The Descriptive Set Theory of Polish Group Actions", chapter = "Actions with Borel Orbit Equivalence Relations", year = "1996", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180810-083346365", id = "record", isbn = "9780521576055", doi = "10.1017/CBO9780511735264.010" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20180817-094122252, title = "The Descriptive Set Theory of Polish Group Actions", chapter = "Introduction", year = "1996", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180817-094122252", id = "record", isbn = "9780521576055", doi = "10.1017/CBO9780511735264.002" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20180810-154314089, title = "The Descriptive Set Theory of Polish Group Actions", chapter = "Actions of Polish 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chapter = "Model Theory and the Vaught Conjecture", year = "1996", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180816-125320670", id = "record", isbn = "9780521576055", doi = "10.1017/CBO9780511735264.009" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20180809-161147539, title = "The Descriptive Set Theory of Polish Group Actions", chapter = "Better topologies", year = "1996", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180809-161147539", id = "record", isbn = "9780511735264", doi = "10.1017/cbo9780511735264.008" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130520-160211996, title = "Analytic Equivalence Relations and Ulm-Type Classifications", journal = "Journal of Symbolic Logic", year = "1995", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130520-160211996", id = "record", issn = "0022-4812", doi = "10.2307/2275888", volume = "60" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130521-103730289, title = "Approximation of analytic by Borel sets and definable countable chain conditions", journal = "Israel Journal of Mathematics", year = "1995", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130521-103730289", id = "record", issn = "0021-2172", doi = "10.1007/BF02808208", volume = "89" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130517-110331634, title = "Topology and descriptive set theory", journal = "Topology and Its Applications", year = "1994", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130517-110331634", id = "record", issn = "0166-8641", doi = "10.1016/0166-8641(94)00146-4", volume = "58" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130524-135334590, title = "Countable Sections for Locally Compact Group Actions. II", journal = "Proceedings of the American Mathematical Society", year = "1994", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130524-135334590", id = "record", issn = "0002-9939", volume = "120" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130521-092754518, title = "The structure of hyperfinite Borel equivalence relations", journal = "Transactions of the American Mathematical Society", year = "1994", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130521-092754518", id = "record", issn = "0002-9947", doi = "10.2307/2154620", volume = "341" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130521-103113640, title = "Amenable Versus Hyperfinite Borel Equivalence Relations", journal = "Journal of Symbolic Logic", year = "1993", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130521-103113640", id = "record", issn = "0022-4812", doi = "10.2307/2275102", volume = "58" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130523-095229531, title = 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@inbook{https://resolver.caltech.edu/CaltechAUTHORS:20130516-154155660, title = "Set theory of the continuum", chapter = "The structure of Borel equivalence relations in Polish spaces", year = "1992", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130516-154155660", id = "record", isbn = "978-1-4613-9756-4", doi = "10.1007/978-1-4613-9754-0\_7" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130517-102333066, title = "The Complexity of Antidifferentiation", journal = "Advances in Mathematics", year = "1991", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130517-102333066", id = "record", issn = "0001-8708", doi = "10.1016/0001-8708(91)90006-S", volume = "88" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130521-093201219, title = "Hereditary properties of the class of closed sets of uniqueness for trigonometric series", journal = "Israel Journal of Mathematics", year = "1991", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130521-093201219", id = "record", issn = "0021-2172", doi = "10.1007/BF02772948", volume = "73" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130517-103738099, title = "Boundedness theorems for dilators and ptykes", journal = "Annals of Pure and Applied Logic", year = "1991", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130517-103738099", id = "record", issn = "0168-0072", doi = "10.1016/0168-0072(91)90040-S", volume = "52" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130517-105346791, title = "A strong boundedness theorem for dilators", journal = "Annals of Pure and Applied Logic", year = "1991", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130517-105346791", id = "record", issn = "0168-0072", doi = "10.1016/0168-0072(91)90041-J", volume = "52" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130521-150404346, title = "Amenable Equivalence Relations and Turing Degrees", journal = "Journal of Symbolic Logic", year = "1991", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130521-150404346", id = "record", issn = "0022-4812", doi = "10.2307/2274913", volume = "56" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130521-150609710, title = "The Class Of Synthesizable Pseudomeasures", journal = "Illinois Journal of Mathematics", year = "1991", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130521-150609710", id = "record", issn = "0019-2082", volume = "35" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130521-131913642, title = "A Glimm-Effros dichotomy for Borel equivalence relations", journal = "Journal of the American Mathematical Society", year = "1990", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130521-131913642", id = "record", issn = "0894-0347", doi = "10.1090/S0894-0347-1990-1057041-5", volume = "3" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130522-151355415, title = "A Classification of Baire Class 1 Functions", journal = "Transactions of the American Mathematical Society", year = "1990", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130522-151355415", id = "record", issn = "0002-9947", volume = "318" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130612-084032401, title = "Covering theorems for uniqueness and extended uniqueness sets", journal = "Colloquium Mathematicum", year = "1990", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130612-084032401", id = "record", issn = "0010-1354", volume = "59" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20130626-124718433, chapter = "The Classification of Hyperfinite Borel Equivalence Relations", year = "1990", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130626-124718433", id = "record" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130528-084327264, title = "Π^1\_1 Borel Sets", journal = "Journal of Symbolic Logic", year = "1989", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130528-084327264", id = "record", issn = "0022-4812", volume = "54" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130524-113257744, title = "Hausdorff Measures and Sets of Uniqueness for Trigonometric Series", journal = "Proceedings of the American Mathematical Society", year = "1989", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130524-113257744", id = "record", issn = "0002-9939", doi = "10.2307/2047049", volume = "105" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130522-131009335, title = "Ordinal Rankings on Measures Annihilating Thin Sets", journal = "Transactions of the American Mathematical Society", year = "1988", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130522-131009335", id = "record", issn = "0002-9947", doi = "10.2307/2000989", volume = "310" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20130528-105652249, title = "Logic Colloquium 1988: Proceedings of the Colloquium", chapter = "The Descriptive Set Theory of σ-Ideals of Compact Sets", year = "1988", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130528-105652249", id = "record", isbn = "978-0-444-87455-9" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20130612-072000863, title = "Cabal Seminar 81-85", chapter = {"AD + uniformization" is equivalent to "half ad\_R"}, year = "1988", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130612-072000863", id = "record", isbn = "978-3-540-50020-9", doi = "10.1007/BFb0084971" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20130612-074122964, title = "Cabal Seminar 81–85", chapter = "A coding theorem for measures", year = "1988", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130612-074122964", id = "record", isbn = "978-3-540-50020-9", doi = "10.1007/BFb0084972" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20130612-090419888, title = "Cabal Seminar 81-85", chapter = "Subsets of ℵ\_1 constructible from a real", year = "1988", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130612-090419888", id = "record", isbn = "978-3-540-50020-9", doi = "10.1007/BFb0084973" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130522-115611198, title = "The Set of Continuous Functions with the Everywhere Convergent Fourier Series", journal = "Transactions of the American Mathematical Society", year = "1987", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130522-115611198", id = "record", issn = "0002-9947", doi = "10.2307/2000906", volume = "302" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130522-103643006, title = "The Structure of σ-Ideals of Compact Sets", journal = "Transactions of the American Mathematical Society", year = "1987", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130522-103643006", id = "record", issn = "0002-9947", doi = "10.2307/2000338", volume = "301" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20180817-104144144, title = "Descriptive Set Theory and the Structure of Sets of Uniqueness", chapter = "Preface", year = "1987", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180817-104144144", id = "record", isbn = "9780511758850", doi = "10.1017/cbo9780511758850.001" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20180817-104144571, title = "Descriptive Set Theory and the Structure of Sets of Uniqueness", chapter = "Symmetric perfect sets and the Salem-Zygmund theorem", year = "1987", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180817-104144571", id = "record", isbn = "9780511758850", doi = "10.1017/cbo9780511758850.006" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20180817-104144661, title = "Descriptive Set Theory and the Structure of Sets of Uniqueness", chapter = "Trigonometric series and sets of uniqueness", year = "1987", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180817-104144661", id = "record", isbn = "9780511758850", doi = "10.1017/cbo9780511758850.004" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20180816-160145462, title = "Descriptive Set Theory and the Structure of Sets of Uniqueness", chapter = "Introduction", year = "1987", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180816-160145462", id = "record", isbn = "9780511758850", doi = "10.1017/cbo9780511758850.002" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20180817-104144223, title = "Descriptive Set Theory and the Structure of Sets of Uniqueness", chapter = "Sets of resolution and synthesis", year = "1987", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180817-104144223", id = "record", isbn = "9780511758850", doi = "10.1017/cbo9780511758850.013" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20180810-084749723, title = "Descriptive Set Theory and the Structure of Sets of Uniqueness", chapter = "The Algebra A of Functions with Absolutely Convergent Fourier Series, Pseudofunctions and Pseudomeasures", year = "1987", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180810-084749723", id = "record", isbn = "9780521358118", doi = "10.1017/CBO9780511758850.005" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20180817-104144307, title = "Descriptive Set Theory and the Structure of Sets of Uniqueness", chapter = "The shrinking method, the theorem of Körner and Kaufman, and the solution to the Borel basis problem for U", year = "1987", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180817-104144307", id = "record", isbn = "9780511758850", doi = "10.1017/cbo9780511758850.010" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20180815-100650741, title = "Descriptive Set Theory and the Structure of Sets of Uniqueness", chapter = "Extended Uniqueness Sets", year = "1987", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180815-100650741", id = "record", isbn = "9780521358118", doi = "10.1017/CBO9780511758850.011" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20180810-104404521, title = "Descriptive Set Theory and the Structure of Sets of Uniqueness", chapter = "Classification of the Complexity of U", year = "1987", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180810-104404521", id = "record", isbn = "9780521358118", doi = "10.1017/CBO9780511758850.007" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20180815-091126114, title = "Descriptive Set Theory and the Structure of Sets of Uniqueness", chapter = "Decomposing U-Sets into Simpler Sets", year = "1987", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180815-091126114", id = "record", isbn = "9780521358118", doi = "10.1017/CBO9780511758850.009" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20180817-104143805, title = "Descriptive Set Theory and the Structure of Sets of Uniqueness", chapter = "The Piatetski-Shapiro hierarchy of U-sets", year = "1987", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180817-104143805", id = "record", isbn = "9780511758850", doi = "10.1017/cbo9780511758850.008" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20130611-134802777, title = "Proceedings of the International Congress of Mathematicians", chapter = "The Complexity of Antidifferentiation, Denjoy Totalization, and Hyperarithmetic Reals", year = "1987", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130611-134802777", id = "record", isbn = "978-0-8218-0110-9" } @book{https://resolver.caltech.edu/CaltechAUTHORS:20180810-081409898, title = "Descriptive Set Theory and the Structure of Sets of Uniqueness", year = "1987", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180810-081409898", id = "record", isbn = "9780521358118", doi = "10.1017/CBO9780511758850" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20180810-150902218, title = "Descriptive Set Theory and the Structure of Sets of Uniqueness", chapter = "Characterizing Rajchman Measures", year = "1987", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180810-150902218", id = "record", isbn = "9780521358118", doi = "10.1017/CBO9780511758850.012" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130528-145231519, title = "Ranks of differentiable functions", journal = "Mathematika", year = "1986", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130528-145231519", id = "record", issn = "0025-5793", doi = "10.1112/S0025579300011244", volume = "33" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130522-101108599, title = "On the Relative Consistency Strength of Determinacy Hypothesis", journal = "Transactions of the American Mathematical Society", year = "1985", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130522-101108599", id = "record", issn = "0002-9947", doi = "10.2307/1999790", volume = "290" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130522-152728059, title = "Determinacy with Complicated Strategies", journal = "Proceedings of the American Mathematical Society", year = "1985", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130522-152728059", id = "record", issn = "0002-9939", doi = "10.1090/S0002-9939-1985-0784188-0", volume = "94" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20130528-102414726, title = "Recursion theory week", chapter = "Sets of everywhere singular functions", year = "1985", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130528-102414726", id = "record", isbn = "978-3-540-15673-4", doi = "10.1007/BFb0076223" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20130611-130509199, title = "Recursion Theory", chapter = "Determinacy and the Structure of L(R)", year = "1985", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130611-130509199", id = "record", isbn = "978-0-8218-1447-5", doi = "10.1090/pspum/042" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130528-083650112, title = "The Axiom of Determinacy Implies Dependent Choices in L(R)", journal = "Journal of Symbolic Logic", year = "1984", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130528-083650112", id = "record", issn = "0022-4812", volume = "49" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20130611-104220186, title = "Axiomatic Set Theory", chapter = "Sets of ordinals constructible from trees and the third Victoria Delfino problem", year = "1984", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130611-104220186", id = "record", isbn = "978-0-8218-5026-8", doi = "10.1090/conm/031" } @article{https://resolver.caltech.edu/CaltechAUTHORS:KECpnas83, title = "Equivalence of partition properties and determinacy", journal = "Proceedings of the National Academy of Sciences of the United States of America", year = "1983", url = "https://resolver.caltech.edu/CaltechAUTHORS:KECpnas83", id = "record", issn = "0027-8424", volume = "80", pmcid = "PMC393690" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20130531-151329535, title = "Cabal Seminar 79-81", chapter = "Introduction to Q-Theory", year = "1983", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130531-151329535", id = "record", isbn = "978-3-540-12688-1", doi = "10.1007/BFb0071702" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20130521-101019031, title = "Logic, methodology, and philosophy of science VI", chapter = "Ordinal games and their applications", year = "1982", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130521-101019031", id = "record", isbn = "0-444-85423-1" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20130531-145645449, title = "Proceedings of the Herbrand Symposium", chapter = "Effective Ramsey Theorems in the Projective Hierarchy", year = "1982", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130531-145645449", id = "record", isbn = "9780444864178", doi = "10.1016/S0049-237X(08)71883-4" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130528-105719531, title = "Forcing with Δ perfect trees and minimal Δ-degrees", journal = "Journal of Symbolic Logic", year = "1981", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130528-105719531", id = "record", issn = "0022-4812", volume = "46" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130522-085823503, title = "On the determinacy of games on ordinals", journal = "Annals of Mathematical Logic", year = "1981", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130522-085823503", id = "record", issn = "0003-4843", doi = "10.1016/0003-4843(81)90001-2", volume = "20" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20130531-110245492, title = "Cabal Seminar 77-79", chapter = "Homogeneous trees and projective scales", year = "1981", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130531-110245492", id = "record", isbn = "978-3-540-10288-5", doi = "10.1007/BFb0090235" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20130531-131451792, title = "Cabal Seminar 77-79", chapter = "The axiom of determinacy and the prewellordering property", year = "1981", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130531-131451792", id = "record", isbn = "978-3-540-10288-5", doi = "10.1007/BFb0090237" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20130529-162228399, title = "Cabal Seminar 77-79", chapter = "A note on Wadge degrees", year = "1981", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130529-162228399", id = "record", isbn = "978-3-540-38422-9", doi = "10.1007/BFb0090240" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20130531-144033005, title = "Cabal Seminar 77-79", chapter = "Souslin cardinals, κ-souslin sets and the scale property in the hyperprojective hierarchy", year = "1981", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130531-144033005", id = "record", isbn = "978-3-540-10288-5", doi = "10.1007/BFb0090238" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20130531-114321828, title = "Cabal Seminar 77-79", chapter = "The axiom of determinacy, strong partition properties and nonsingular measures", year = "1981", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130531-114321828", id = "record", isbn = "978-3-540-10288-5", doi = "10.1007/BFb0090236" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20130531-104437708, title = "The Kleene Symposium", chapter = "Recent Advances in the Theory of Higher Level Projective Sets", year = "1980", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130531-104437708", id = "record", isbn = "978-0-444-85345-5", doi = "10.1016/S0049-237X(08)71258-8" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130610-140456846, title = "An overview of descriptive set theory", journal = "Publications Mathématiques de l'Université Pierre et Marie Curie", year = "1979", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130610-140456846", id = "record", issn = "1151-1745", volume = "4" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130528-081912845, title = "The Perfect Set Theorem and Definable Wellorderings of the Continuum", journal = "Journal of Symbolic Logic", year = "1978", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130528-081912845", id = "record", issn = "0022-4812", volume = "43" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130522-081838953, title = "Countable ordinals and the analytical hierarchy, II", journal = "Annals of Mathematical Logic", year = "1978", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130522-081838953", id = "record", issn = "0003-4843", doi = "10.1016/0003-4843(78)90010-4", volume = "15" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130528-083000082, title = "Minimal Upper Bounds for Sequences of Δ^1\_(2n)-Degrees", journal = "Journal of Symbolic Logic", year = "1978", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130528-083000082", id = "record", issn = "0022-4812", volume = "43" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130625-140857081, title = "On the theory of ∏\_3^1 sets of reals", journal = "Bulletin of the American Mathematical Society", year = "1978", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130625-140857081", id = "record", issn = "0273-0979", doi = "10.1090/S0002-9904-1978-14447-4", volume = "84" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20130528-094742588, title = "Cabal Seminar 76–77", chapter = "Notes on the Theory of Scales", year = "1978", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130528-094742588", id = "record", isbn = "978-3-540-09086-1", doi = "10.1007/BFb0069294" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20130528-134758796, title = "Cabal Seminar 76-77", chapter = "AD and projective ordinals", year = "1978", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130528-134758796", id = "record", isbn = "978-3-540-09086-1", doi = "10.1007/BFb0069296" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20130531-074153858, title = "Cabal Seminar 76–77", chapter = "On Spector classes", year = "1978", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130531-074153858", id = "record", isbn = "9783540090861", doi = "10.1007/BFb0069303" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20130528-100408397, title = "Generalized recursion theory II", chapter = "Spector second order classes and reflection", year = "1978", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130528-100408397", id = "record", isbn = "9780444851635" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20130530-070413635, title = "Logic Colloquium '77", chapter = "On Transfinite Sequences of Projective Sets with an Application to ∑^1\_2 Equivalence Relations", year = "1978", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130530-070413635", id = "record", isbn = "9780444851789", doi = "10.1016/S0049-237X(08)71998-0" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20130531-091303529, title = "Higher Set Theory", chapter = "Forcing in analysis", year = "1978", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130531-091303529", id = "record", isbn = "978-3-540-08926-1", doi = "10.1007/BFb0103105" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130522-135105483, title = "On a notion of smallness for subsets of the Baire space", journal = "Transactions of the American Mathematical Society", year = "1977", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130522-135105483", id = "record", issn = "0002-9947", volume = "229" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130528-111450945, title = "∏^1\_2 singletons and O^\#", journal = "Fundamenta Mathematicae", year = "1977", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130528-111450945", id = "record", issn = "0016-2736", volume = "95" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130528-103036161, title = "Classifying Projective-like Hierarchies", journal = "Bulletin of the Greek Mathematical Society", year = "1977", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130528-103036161", id = "record", issn = "0072-7466", volume = "18" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130624-085131170, title = "On Monotone vs. Nonmonotone Induction", journal = "Bulletin of the American Mathematical Society", year = "1976", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130624-085131170", id = "record", issn = "0273-0979", volume = "82" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130529-152738529, title = "A Basis Result for Σ^0\_3 Sets of Reals with an Application to Minimal Covers", journal = "Proceedings of the American Mathematical Society", year = "1975", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130529-152738529", id = "record", issn = "0002-9939", volume = "53" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130529-073254315, title = "A note on universal sets for classes of countable G\_δ'S", journal = "Mathematika", year = "1975", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130529-073254315", id = "record", issn = "0025-5793", doi = "10.1112/S0025579300004484", volume = "22" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130524-135424900, title = "On Characterizing Spector Classes", journal = "Journal of Symbolic Logic", year = "1975", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130524-135424900", id = "record", issn = "0022-4812", volume = "40" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130522-132343731, title = "The Theory of Countable Analytical Sets", journal = "Transactions of the American Mathematical Society", year = "1975", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130522-132343731", id = "record", issn = "0002-9947", volume = "202" } @article{https://resolver.caltech.edu/CaltechAUTHORS:KECpjm75, title = "Countable ordinals and the analytical hierarchy, I", journal = "Pacific Journal of Mathematics", year = "1975", url = "https://resolver.caltech.edu/CaltechAUTHORS:KECpjm75", id = "record", issn = "0030-8730", volume = "60" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130612-115543154, title = "Countable ordinals and the analytical hierarchy. I.", journal = "Pacific Journal of Mathematics", year = "1975", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130612-115543154", id = "record", issn = "0030-8730", volume = "60" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130529-103426984, title = "On Projective Ordinals", journal = "Journal of Symbolic Logic", year = "1974", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130529-103426984", id = "record", issn = "0022-4812", volume = "39" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130528-122128969, title = "Measure and category in effective descriptive set theory", journal = "Annals of Mathematical Logic", year = "1973", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130528-122128969", id = "record", issn = "0003-4843", doi = "10.1016/0003-4843(73)90012-0", volume = "5" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130529-155104187, title = "Two theorems about projective sets", journal = "Israel Journal of Mathematics", year = "1972", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130529-155104187", id = "record", issn = "0021-2172", doi = "10.1007/BF02764630", volume = "12" }