@article{https://resolver.caltech.edu/CaltechAUTHORS:20230125-514112400.2, title = "Lifts of Borel actions on quotient spaces", journal = "Israel Journal of Mathematics", 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", 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", 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", 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", 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", 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", 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", 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", 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", 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:20180806-100432570, title = "Ordinal Definability and Recursion Theory: The Cabal Seminar", chapter = "Introduction to Q-theory", 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", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180806-100030179", id = "record", isbn = "9781139519694", doi = "10.1017/CBO9781139519694.001" } @book{https://resolver.caltech.edu/CaltechAUTHORS:20180806-095451417, title = "Ordinal Definability and Recursion Theory: The Cabal Seminar", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180806-095451417", id = "record", isbn = "9781139519694", doi = "10.1017/CBO9781139519694" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20180806-093515411, title = "Ordinal Definability and Recursion Theory: The Cabal Seminar", chapter = "On Spector classes", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180806-093515411", id = "record", isbn = "9781139519694", doi = "10.1017/CBO9781139519694.013" } @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", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180806-092249394", id = "record", isbn = "9781139519694", doi = "10.1017/CBO9781139519694.007" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20150107-075104911, title = "Random orderings and unique ergodicity of automorphism groups", journal = "Journal of the European Mathematical Society", 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", 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", 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", 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", 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", 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. 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Volume I - Games, Scales, and Suslin Cardinals", chapter = "The equivalence of partition properties and determinacy", 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/cbo9780511546488.003" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130522-084128445, title = "Turbulence, amalgamation, and generic automorphisms of homogeneous structures", journal = "Proceedings of the London Mathematical Society", 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", 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", url = 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} @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20180817-104144394, title = "Analysis and Logic", chapter = "Signatures", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180817-104144394", id = "record", isbn = "9781107360006", doi = "10.1017/cbo9781107360006.005" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20180816-160145519, title = "Analysis and Logic", chapter = "Introduction", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180816-160145519", id = "record", isbn = "9781107360006", doi = "10.1017/cbo9781107360006.002" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20180810-151926459, title = "Analysis and Logic", chapter = "Concluding remarks", url = "https://resolver.caltech.edu/CaltechAUTHORS:20180810-151926459", id = "record", isbn = "9780521648615", doi = "10.1017/CBO9781107360006.039" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20180816-160145363, title = "Analysis and Logic", chapter = "Introduction", url = 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Synthesizable Pseudomeasures", journal = "Illinois Journal of Mathematics", 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", 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", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130522-151355415", id = "record", issn = "0002-9947", volume = "318" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20130626-124718433, chapter = "The Classification of Hyperfinite Borel 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"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", 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", 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"}, 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:20130612-090419888, title = "Cabal Seminar 81-85", chapter = "Subsets of ℵ\_1 constructible from a real", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130612-090419888", id = "record", isbn = "978-3-540-50020-9", doi = "10.1007/BFb0084973" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20130612-074122964, title = "Cabal Seminar 81–85", chapter = "A coding theorem for measures", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130612-074122964", id = "record", isbn = "978-3-540-50020-9", doi = "10.1007/BFb0084972" } @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", 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", 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: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", 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 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title = "Determinacy with Complicated Strategies", journal = "Proceedings of the American Mathematical Society", 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:20130611-130509199, title = "Recursion Theory", chapter = "Determinacy and the Structure of L(R)", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130611-130509199", id = "record", isbn = "978-0-8218-1447-5", doi = "10.1090/pspum/042" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20130528-102414726, title = "Recursion theory week", chapter = "Sets of everywhere singular functions", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130528-102414726", id = "record", isbn = "978-3-540-15673-4", doi = "10.1007/BFb0076223" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130528-083650112, title = "The Axiom of Determinacy Implies Dependent 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= "84" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20130528-100408397, title = "Generalized recursion theory II", chapter = "Spector second order classes and reflection", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130528-100408397", id = "record", isbn = "9780444851635" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20130531-091303529, title = "Higher Set Theory", chapter = "Forcing in analysis", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130531-091303529", id = "record", isbn = "978-3-540-08926-1", doi = "10.1007/BFb0103105" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20130528-094742588, title = "Cabal Seminar 76–77", chapter = "Notes on the Theory of Scales", 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:20130530-070413635, title = "Logic Colloquium '77", chapter = "On Transfinite Sequences 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@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", 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", 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", 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", url = "https://resolver.caltech.edu/CaltechAUTHORS:20130522-132343731", id = "record", issn = "0002-9947", volume = "202" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20130612-115543154, title = "Countable ordinals and the analytical hierarchy. 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