Edit Profile (opens in new tab) Kechris, Alexander S. Co-Author Distance Author ID: kechris.alexander-s Published as: Kechris, Alexander S.; Kechris, A. S.; Kechris, Alexander; Kechris, Alekos; Kechris, A. more...less Homepage: http://www.math.caltech.edu/~kechris/ External Links: MGP · Wikidata · Google Scholar · ResearchGate · dblp · GND · IdRef · theses.fr Documents Indexed: 148 Publications since 1972, including 9 Books and 2 Additional arXiv Preprints 13 Contributions as Editor · 3 Further Contributions Co-Authors: 63 Co-Authors with 99 Joint Publications 1,477 Co-Co-Authors all top 5 Co-Authors 65 single-authored 12 Louveau, Alain 11 Martin, Donald A. 9 Harrington, Leo A. 9 Moschovakis, Yiannis Nicholas 8 Woodin, W. Hugh 7 Hjorth, Gregory 7 Steel, John R. 5 Solovay, Robert M. 4 Dougherty, Randall L. 4 Löwe, Benedikt 4 Shore, Richard Arnold 4 Todorcevic, Stevo B. 3 Barwise, Kenneth Jon 3 Becker, Howard S. 3 Conley, Clinton Taylor 3 Feferman, Solomon 3 Miller, Benjamin David 3 Simpson, Stephen G. 2 Aczel, Peter 2 Barendregt, Hendrik Pieter 2 Burgess, John P. 2 Burton, Peter J. 2 Davis, Martin David 2 Devlin, Keith J. 2 Eklof, Paul C. 2 Enderton, Herbert B. 2 Fourman, Michael Paul 2 Frisch, Joshua R. 2 Gao, Su 2 Jackson, Stephen C. 2 Jech, Thomas J. 2 Juhász, István 2 Keisler, Howard Jerome 2 Kleinberg, Eugene M. 2 Kock, Anders Jungersen 2 Kunen, Kenneth 2 Lyons, Russell 2 Macintyre, Angus John 2 Makkai, Michael 2 Morley, Michael Darwin 2 Paris, Jeffrey Bruce 2 Pestov, Vladimir G. 2 Rabin, Michael O. 2 Reyes, Gonzalo E. 2 Rudin, Mary Ellen 2 Schwichtenberg, Helmut 2 Shinko, Forte 2 Shönfield, Joseph R. 2 Smoryński, Craig 2 Sokić, Miodrag 2 Solecki, Sławomir 2 Statman, Richard 2 Stroyan, Keith D. 2 Troelstra, Anne Sjerp 2 Tsankov, Todor 2 Tucker-Drob, Robin D. 1 Adams, Scot 1 Ajtai, Miklós 1 Angel, Omer 1 Bergstra, Jan A. 1 Buss, Samuel R. 1 Camerlo, Riccardo 1 Chen, Ruiyuan 1 Clemens, John Daniel 1 Dellacherie, Claude 1 Fenstad, Jens Erik 1 Foreman, Matthew D. 1 Friedman, Sy-David 1 Gandy, Robin O. 1 Gordon, Alexander Ya. 1 Hoffmann-Jørgensen, Jørgen 1 Hyland, J. Martin E. 1 Ioana, Adrian 1 Jayne, John E. 1 Kanamori, Akihiro 1 Kleene, Stephen Cole 1 Lerman, Manuel 1 Maass, Wolfgang 1 Macdonald, Henry L. 1 Malicki, Maciej 1 Marek, V. Wiktor 1 Marker, David E. 1 Moldestad, Johan 1 Nies, André Otfrid 1 Normann, Dag 1 Pacholski, Leszek M. 1 Panagiotopoulos, Aristotelis 1 Pillay, Anand 1 Quorning, Vibeke 1 Ramakrishnan, Dinakar 1 Rogers, Claude Ambrose 1 Rosendal, Christian 1 Sacks, Gerald Enoch 1 Sami, Ramez L. 1 Sofronidis, Nikolaos Efstathiou 1 Stoltenberg-Hansen, Viggo 1 Stone, Arthur Harold 1 Tardivel-Nachef, Valérie 1 Tent, Katrin 1 Topsøe, Flemming ...and 6 more Co-Authors all top 5 Serials 12 The Journal of Symbolic Logic 8 Israel Journal of Mathematics 8 Transactions of the American Mathematical Society 7 Proceedings of the American Mathematical Society 7 The Bulletin of Symbolic Logic 6 Fundamenta Mathematicae 5 Ergodic Theory and Dynamical Systems 5 Lecture Notes in Mathematics 4 Annals of Pure and Applied Logic 4 Lecture Notes in Logic 4 London Mathematical Society Lecture Note Series 3 Annals of Mathematical Logic 3 Journal of the American Mathematical Society 3 Studies in Logic and the Foundations of Mathematics 3 Groups, Geometry, and Dynamics 2 Advances in Mathematics 2 Illinois Journal of Mathematics 2 Mathematika 2 Memoirs of the American Mathematical Society 2 Topology and its Applications 2 Bulletin of the American Mathematical Society 1 Applicable Analysis 1 Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques 1 Colloquium Mathematicum 1 Journal of the London Mathematical Society. Second Series 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Bulletin of the Greek Mathematical Society 1 Geometric and Functional Analysis. GAFA 1 Proceedings of the National Academy of Sciences of the United States of America 1 Bulletin of the American Mathematical Society. New Series 1 New Zealand Journal of Mathematics 1 Zapiski Nauchnykh Seminarov POMI 1 Journal of the European Mathematical Society (JEMS) 1 Journal of Mathematical Logic 1 Graduate Texts in Mathematics 1 Mathematical Surveys and Monographs 1 Proceedings of Symposia in Pure Mathematics 1 Wiadomości Matematyczne all top 5 Fields 138 Mathematical logic and foundations (03-XX) 31 General topology (54-XX) 27 Dynamical systems and ergodic theory (37-XX) 26 Measure and integration (28-XX) 12 General and overarching topics; collections (00-XX) 12 Topological groups, Lie groups (22-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 9 Abstract harmonic analysis (43-XX) 8 Combinatorics (05-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Group theory and generalizations (20-XX) 5 History and biography (01-XX) 4 Real functions (26-XX) 4 Functional analysis (46-XX) 2 Operator theory (47-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 130 Publications have been cited 3,969 times in 2,544 Documents Cited by ▼ Year ▼ Classical descriptive set theory. Zbl 0819.04002 Kechris, Alexander S. 1,488 1995 The descriptive set theory of Polish group actions. Zbl 0949.54052 Becker, Howard; Kechris, Alexander S. 240 1996 Fraïssé limits, Ramsey theory, and topological dynamics of automorphism groups. Zbl 1084.54014 Kechris, A. S.; Pestov, V. G.; Todorcevic, S. 177 2005 Turbulence, amalgamation, and generic automorphisms of homogeneous structures. Zbl 1118.03042 Kechris, Alexander S.; Rosendal, Christian 135 2007 Topics in orbit equivalence. Zbl 1058.37003 Kechris, Alexander S.; Miller, Benjamin D. 125 2004 A Glimm-Effros dichotomy for Borel equivalence relations. Zbl 0778.28011 Harrington, L. A.; Kechris, A. S.; Louveau, A. 110 1990 Countable Borel equivalence relations. Zbl 1008.03031 Jackson, S.; Kechris, A. S.; Louveau, A. 109 2002 Borel chromatic numbers. Zbl 0918.05052 Kechris, A. S.; Solecki, S.; Todorcevic, S. 104 1999 Global aspects of ergodic group actions. Zbl 1189.37001 Kechris, Alexander S. 96 2010 Topology and descriptive set theory. Zbl 0805.54035 Kechris, Alexander S. 95 1994 The structure of hyperfinite Borel equivalence relations. Zbl 0803.28009 Dougherty, R.; Jackson, S.; Kechris, A. S. 91 1994 Descriptive set theory and the structure of sets of uniqueness. Zbl 0642.42014 Kechris, Alexander S.; Louveau, Alain 53 1987 The classification of hypersmooth Borel equivalence relations. Zbl 0865.03039 Kechris, Alexander S.; Louveau, Alain 51 1997 On the classification of Polish metric spaces up to isometry. Zbl 1012.54038 Gao, Su; Kechris, Alexander S. 47 2003 The structure of \(\sigma\)-ideals of compact sets. Zbl 0633.03043 Kechris, A. S.; Louveau, A.; Woodin, W. H. 44 1987 Countable sections for locally compact group actions. Zbl 0761.28014 Kechris, Alexander S. 38 1992 Borel equivalence relations and classifications of countable models. Zbl 0933.03056 Hjorth, Greg; Kechris, Alexander S. 38 1996 Linear algebraic groups and countable Borel equivalence relations. Zbl 0952.03057 Adams, Scot; Kechris, Alexander S. 37 2000 Measure and category in effective descriptive set theory. Zbl 0277.02019 Kechris, Alexander S. 34 1973 A classification of Baire class 1 functions. Zbl 0692.03031 Kechris, A. S.; Louveau, A. 33 1990 Rigidity theorems for actions of product groups and countable Borel equivalence relations. Zbl 1094.37002 Hjorth, Greg; Kechris, Alexander S. 32 2005 Analytic sets. (Developed from lectures given at the London Mathematical Society Instructional Conference on Analytic Sets, University College London, July 1978). Zbl 0451.04001 Rogers, C. A.; Jayne, J. E.; Dellacherie, Claude; Topsøe, Flemming; Hoffmann- Jørgensen, Jørgen; Martin, D. A.; Kechris, A. S.; Stone, A. H. 26 1980 On a notion of smallness for subsets of the Baire space. Zbl 0401.03022 Kechris, Alexander S. 23 1977 Amenable actions and almost invariant sets. Zbl 1155.28010 Kechris, Alexander S.; Tsankov, Todor 23 2008 Random orderings and unique ergodicity of automorphism groups. Zbl 1304.22027 Angel, Omer; Kechris, Alexander S.; Lyons, Russell 22 2014 New directions in descriptive set theory. Zbl 0933.03057 Kechris, Alexander S. 21 1999 The theory of countable analytical sets. Zbl 0317.02082 Kechris, Alexander S. 21 1975 On the determinacy of games on ordinals. Zbl 0489.03018 Harrington, Leo A.; Kechris, A. S. 20 1981 New dichotomies for Borel equivalence relations. Zbl 0889.03038 Hjorth, Greg; Kechris, Alexander S. 20 1997 Borel equivalence relations induced by actions of the symmetric group. Zbl 0930.03058 Hjorth, Greg; Kechris, Alexander S.; Louveau, Alain 20 1998 The axiom of determinacy implies dependent choices in L(\({\mathbb{R}})\). Zbl 0584.03037 Kechris, Alexander S. 20 1984 Subequivalence relations and positive-definite functions. Zbl 1186.37011 Ioana, Adrian; Kechris, Alexander S.; Tsankov, Todor 18 2009 Cabal Seminar 79-81. Proceedings, Caltech-UCLA Logic Seminar 1979-81. Zbl 0511.00005 17 1983 Ultraproducts of measure preserving actions and graph combinatorics. Zbl 1268.05104 Conley, Clinton T.; Kechris, Alexander S.; Tucker-Drob, Robin D. 17 2013 Measurable chromatic and independence numbers for ergodic graphs and group actions. Zbl 1315.03082 Conley, Clinton T.; Kechris, Alexander S. 17 2013 Equivalence of partition properties and determinacy. Zbl 0523.03035 Kechris, Alexander S.; Woodin, W. Hugh 16 1983 Analytic equivalence relations and Ulm-type classifications. Zbl 0847.03023 Hjorth, Greg; Kechris, Alexander S. 15 1995 Descriptive set theory and harmonic analysis. Zbl 0766.03026 Kechris, A. S.; Louveau, A. 14 1992 Polish metric spaces: Their classification and isometry groups. Zbl 0994.54037 Clemens, John D.; Gao, Su; Kechris, Alexander S. 13 2001 On the relative consistency strength of determinacy hypotheses. Zbl 0586.03045 Kechris, Alexander S.; Solovay, Robert M. 13 1985 On the concept of \(\Pi^ 1_ 1\)-completeness. Zbl 0864.03034 Kechris, Alexander S. 13 1997 AD and projective ordinals. Zbl 0434.03036 Kechris, Alexander S. 13 1978 Weak containment in the space of actions of a free group. Zbl 1273.37003 Kechris, Alexander S. 13 2012 Wadge degrees and projective ordinals. The Cabal Seminar, Vol. II. Reprints of papers and new material based on the Los Angeles Caltech-UCLA Logic Cabal Seminar 1976–1985. Zbl 1230.03010 12 2012 On the classification problem for rank 2 torsion-free Abelian groups. Zbl 1041.20038 Kechris, Alexander S. 12 2000 Recent developments in the theory of Borel reducibility. Zbl 0992.03055 Hjorth, Greg; Kechris, Alexander S. 12 2001 Generic codes for uncountable ordinals, partition properties, and elementary embeddings. Zbl 1209.03042 Kechris, Alexander S.; Woodin, W. Hugh 12 2008 Borel actions of Polish groups. Zbl 0781.03033 Becker, Howard; Kechris, Alexander S. 11 1993 Hereditary properties of the class of closed sets of uniqueness for trigonometric series. Zbl 0769.42006 Kechris, Alexander S. 11 1991 Dynamical properties of the automorphism groups of the random poset and random distributive lattice. Zbl 1260.03063 Kechris, Alexander S.; Sokić, Miodrag 11 2012 Descriptive set theory and the structure of sets of uniqueness. Zbl 0677.42009 Kechris, Alexander S.; Louveau, Alain 10 1989 The structure of Borel equivalence relations in Polish spaces. Zbl 0779.03016 Kechris, Alexander S. 10 1992 Approximation of analytic by Borel sets and definable countable chain conditions. Zbl 0827.54023 Kechris, A. S.; Solecki, S. 10 1995 A strong generic ergodicity property of unitary and self-adjoint operators. Zbl 1062.47514 Kechris, A. S.; Sofronidis, N. E. 10 2001 Ranks of differentiable functions. Zbl 0618.03024 Kechris, Alexander S.; Woodin, W. Hugh 10 1986 Cabal seminar 76-77. Proceedings, Caltech-UCLA logic seminar 1976-77. Zbl 0379.00001 10 1978 Handbook of mathematical logic. With the cooperation of H. J. Keisler, K. Kunen, Y. N. Moschovakis, A. S. Troelstra. 2nd printing. Zbl 0443.03001 10 1978 The axiom of determinacy, strong partition properties and nonsingular measures. Zbl 0485.03030 Kechris, Alexander S.; Kleinberg, Eugene M.; Moschovakis, Yiannis N.; Woodin, W. Hugh 9 1981 Weak containment of measure-preserving group actions. Zbl 1479.37005 Burton, Peter J.; Kechris, Alexander S. 9 2020 The set of continuous functions with everywhere convergent Fourier series. Zbl 0633.04004 Ajtai, M.; Kechris, A. S. 8 1987 \(\Pi^ 1_ 1\) Borel sets. Zbl 0686.03025 Kechris, Alexander S.; Marker, David; Sami, Ramez L. 8 1989 Two theorems about projective sets. Zbl 0257.02034 Kechris, Alexander S.; Moschovakis, Yiannis N. 8 1972 Amenable equivalence relations and Turing degrees. Zbl 0734.03028 Kechris, Alexander S. 8 1991 The equivalence of partition properties and determinacy. Zbl 1194.03038 Kechris, Alexander S.; Woodin, W. Hugh 7 2008 Actions of Polish groups and classification problems. Zbl 1022.22003 Kechris, Alexander S. 7 2002 Games, scales, and Suslin cardinals. The Cabal Seminar, Vol. I. Reprints of papers and new material based on the Los Angeles Caltech-UCLA Logic Cabal Seminar 1976–1985. Zbl 1149.03002 7 2008 Cabal seminar 81-85. Proceedings, Caltech-UCLA logic seminar 1981-1985, Los Angeles, CA (USA). Zbl 0638.00008 6 1988 A strong boundedness theorem for dilators. Zbl 0735.03019 Kechris, A. S.; Woodin, W. H. 6 1991 Dynamics of non-Archimedean Polish groups. Zbl 1364.03046 Kechris, Alexander S. 6 2013 Homogeneous trees and projective scales. Zbl 0485.03029 Kechris, Alexander S. 5 1981 The axiom of determinacy and the prewellordering property. Zbl 0485.03031 Kechris, Alexander S.; Solovay, Robert M.; Steel, John R. 5 1981 The prospects for mathematical logic in the twenty-first century. Zbl 0981.03003 Buss, Samuel R.; Kechris, Alexander S.; Pillay, Anand; Shore, Richard A. 5 2001 The descriptive classification of some classes of \(C^*\)-algebras. Zbl 0995.03037 Kechris, Alexander S. 5 1998 A note on universal sets for classes of countable \(G_\delta\)’s. Zbl 0307.54040 Kechris, A. S.; Martin, D. A. 5 1975 The complexity of antidifferentiation. Zbl 0739.26005 Dougherty, Randall; Kechris, Alexander S. 5 1991 On monotone vs. nonmonotone induction. Zbl 0363.02044 Harrington, Leo A.; Kechris, Alexander S. 5 1976 On the theory of \(\Pi^1_3\) sets of reals. Zbl 0385.03037 Kechris, A. S.; Martin, D. A. 5 1978 Notes on the theory of scales. Zbl 0397.03032 Kechris, Alexander S.; Moschovakis, Yiannis N. 5 1978 Amenable versus hyperfinite Borel equivalence relations. Zbl 0795.03067 Kechris, Alexander S. 5 1993 Structurable equivalence relations. Zbl 1459.03073 Chen, Ruiyuan; Kechris, Alexander S. 5 2018 Measurable enumeration of eigenelements. Zbl 1013.47006 Gordon, Alexander Y.; Kechris, Alexander S. 4 1999 How many Turing degrees are there? Zbl 0962.03033 Dougherty, Randall; Kechris, Alexander S. 4 2000 Rigidity properties of Borel ideals on the integers. Zbl 0926.03057 Kechris, Alexander S. 4 1998 Unitary representations and modular actions. Zbl 1086.22010 Kechris, A. S. 4 2005 On projective ordinals. Zbl 0292.02056 Kechris, Alexander S. 4 1974 Notes on the theory of scales. Zbl 1159.03316 Kechris, Alexander S.; Moschovakis, Yiannis N. 4 2008 Introduction to Q-theory. Zbl 0582.03038 Kechris, Alexander S.; Martin, Donald A.; Solovay, Robert M. 4 1983 A basis result for \(\Sigma^0_3\) sets of reals with an application to minimal covers. Zbl 0376.02054 Harrington, Leo A.; Kechris, Alexander S. 4 1975 Ordinal definability and recursion theory. The Cabal Seminar, Vol. III. Reprints of papers and new material based on the Los Angeles Caltech-UCLA Logic Cabal Seminar 1976–1985. Zbl 1350.03006 4 2016 Borel equivalence relations and cardinal algebras. Zbl 1367.03081 Kechris, Alexander S.; Macdonald, Henry L. 4 2016 The complexity of the classification of Riemann surfaces and complex manifolds. Zbl 0954.03052 Hjorth, G.; Kechris, A. S. 3 2000 Descriptive dynamics. Zbl 0955.54012 Kechris, Alexander S. 3 2000 Countable ordinals and the analytical hierarchy. Zbl 0287.02042 Kechris, A. S. 3 1975 The axiom of determinacy, strong partition properties and nonsingular measures. Zbl 1159.03326 Kechris, Alexander S.; Kleinberg, Eugene M.; Moschovakis, Yiannis N.; Woodin, W. Hugh 3 2008 Boundedness theorems for dilators and ptykes. Zbl 0735.03020 Kechris, Alexander S. 3 1991 On Spector classes. Zbl 0405.03022 Kechris, Alexander S. 3 1978 Countable ordinals and the analytical hierarchy. II. Zbl 0449.03047 Kechris, Alexander S. 3 1978 Cabal seminar 77 – 79. Proceedings, Caltech-UCLA Logic Seminar 1977 – 79. Zbl 0456.00005 3 1981 Ramsey properties of finite measure algebras and topological dynamics of the group of measure preserving automorphisms: some results and an open problem. Zbl 1423.03113 Kechris, A. S.; Sokić, M.; Todorcevic, S. 3 2017 Co-induction and invariant random subgroups. Zbl 1447.37006 Kechris, Alexander S.; Quorning, Vibeke 3 2019 Weak containment of measure-preserving group actions. Zbl 1479.37005 Burton, Peter J.; Kechris, Alexander S. 9 2020 Co-induction and invariant random subgroups. Zbl 1447.37006 Kechris, Alexander S.; Quorning, Vibeke 3 2019 Structurable equivalence relations. Zbl 1459.03073 Chen, Ruiyuan; Kechris, Alexander S. 5 2018 The complexity of topological group isomorphism. Zbl 1502.03016 Kechris, Alexander S.; Nies, André; Tent, Katrin 3 2018 Ramsey properties of finite measure algebras and topological dynamics of the group of measure preserving automorphisms: some results and an open problem. Zbl 1423.03113 Kechris, A. S.; Sokić, M.; Todorcevic, S. 3 2017 Invariant random subgroups and action versus representation maximality. Zbl 1375.37004 Burton, Peter J.; Kechris, Alexander S. 2 2017 Ordinal definability and recursion theory. The Cabal Seminar, Vol. III. Reprints of papers and new material based on the Los Angeles Caltech-UCLA Logic Cabal Seminar 1976–1985. Zbl 1350.03006 4 2016 Borel equivalence relations and cardinal algebras. Zbl 1367.03081 Kechris, Alexander S.; Macdonald, Henry L. 4 2016 On Spector classes. Zbl 1431.03055 Kechris, Alexander S. 2 2016 Introduction to Q-theory. Zbl 1431.03069 Kechris, Alexander S.; Martin, Donald A.; Solovay, Robert M. 1 2016 Random orderings and unique ergodicity of automorphism groups. Zbl 1304.22027 Angel, Omer; Kechris, Alexander S.; Lyons, Russell 22 2014 Ultraproducts of measure preserving actions and graph combinatorics. Zbl 1268.05104 Conley, Clinton T.; Kechris, Alexander S.; Tucker-Drob, Robin D. 17 2013 Measurable chromatic and independence numbers for ergodic graphs and group actions. Zbl 1315.03082 Conley, Clinton T.; Kechris, Alexander S. 17 2013 Dynamics of non-Archimedean Polish groups. Zbl 1364.03046 Kechris, Alexander S. 6 2013 Stationary probability measures and topological realizations. Zbl 1279.37003 Conley, Clinton T.; Kechris, Alexander S.; Miller, Benjamin D. 3 2013 The complexity of classification problems in ergodic theory. Zbl 1367.03082 Kechris, Alexander S.; Tucker-Drob, Robin D. 2 2013 Weak containment in the space of actions of a free group. Zbl 1273.37003 Kechris, Alexander S. 13 2012 Wadge degrees and projective ordinals. The Cabal Seminar, Vol. II. Reprints of papers and new material based on the Los Angeles Caltech-UCLA Logic Cabal Seminar 1976–1985. Zbl 1230.03010 12 2012 Dynamical properties of the automorphism groups of the random poset and random distributive lattice. Zbl 1260.03063 Kechris, Alexander S.; Sokić, Miodrag 11 2012 AD and projective ordinals. Zbl 1279.03071 Kechris, Alexander S. 2 2012 Trigonometric series and set theory. Zbl 1272.42002 Kechris, Alexander S. 1 2012 Global aspects of ergodic group actions. Zbl 1189.37001 Kechris, Alexander S. 96 2010 Subequivalence relations and positive-definite functions. Zbl 1186.37011 Ioana, Adrian; Kechris, Alexander S.; Tsankov, Todor 18 2009 Amenable actions and almost invariant sets. Zbl 1155.28010 Kechris, Alexander S.; Tsankov, Todor 23 2008 Generic codes for uncountable ordinals, partition properties, and elementary embeddings. Zbl 1209.03042 Kechris, Alexander S.; Woodin, W. Hugh 12 2008 The equivalence of partition properties and determinacy. Zbl 1194.03038 Kechris, Alexander S.; Woodin, W. Hugh 7 2008 Games, scales, and Suslin cardinals. The Cabal Seminar, Vol. I. Reprints of papers and new material based on the Los Angeles Caltech-UCLA Logic Cabal Seminar 1976–1985. Zbl 1149.03002 7 2008 Notes on the theory of scales. Zbl 1159.03316 Kechris, Alexander S.; Moschovakis, Yiannis N. 4 2008 The axiom of determinacy, strong partition properties and nonsingular measures. Zbl 1159.03326 Kechris, Alexander S.; Kleinberg, Eugene M.; Moschovakis, Yiannis N.; Woodin, W. Hugh 3 2008 Suslin cardinals, \(\kappa\)-Suslin sets and the scale property in the hyperprojective hierarchy. Zbl 1159.03324 Kechris, Alexander S. 2 2008 Means on equivalence relations. Zbl 1140.37003 Kechris, Alexander S.; Miller, Benjamin D. 1 2008 Turbulence, amalgamation, and generic automorphisms of homogeneous structures. Zbl 1118.03042 Kechris, Alexander S.; Rosendal, Christian 135 2007 Fraïssé limits, Ramsey theory, and topological dynamics of automorphism groups. Zbl 1084.54014 Kechris, A. S.; Pestov, V. G.; Todorcevic, S. 177 2005 Rigidity theorems for actions of product groups and countable Borel equivalence relations. Zbl 1094.37002 Hjorth, Greg; Kechris, Alexander S. 32 2005 Unitary representations and modular actions. Zbl 1086.22010 Kechris, A. S. 4 2005 Topics in orbit equivalence. Zbl 1058.37003 Kechris, Alexander S.; Miller, Benjamin D. 125 2004 On the classification of Polish metric spaces up to isometry. Zbl 1012.54038 Gao, Su; Kechris, Alexander S. 47 2003 Countable Borel equivalence relations. Zbl 1008.03031 Jackson, S.; Kechris, A. S.; Louveau, A. 109 2002 Actions of Polish groups and classification problems. Zbl 1022.22003 Kechris, Alexander S. 7 2002 Polish metric spaces: Their classification and isometry groups. Zbl 0994.54037 Clemens, John D.; Gao, Su; Kechris, Alexander S. 13 2001 Recent developments in the theory of Borel reducibility. Zbl 0992.03055 Hjorth, Greg; Kechris, Alexander S. 12 2001 A strong generic ergodicity property of unitary and self-adjoint operators. Zbl 1062.47514 Kechris, A. S.; Sofronidis, N. E. 10 2001 The prospects for mathematical logic in the twenty-first century. Zbl 0981.03003 Buss, Samuel R.; Kechris, Alexander S.; Pillay, Anand; Shore, Richard A. 5 2001 Linear algebraic groups and countable Borel equivalence relations. Zbl 0952.03057 Adams, Scot; Kechris, Alexander S. 37 2000 On the classification problem for rank 2 torsion-free Abelian groups. Zbl 1041.20038 Kechris, Alexander S. 12 2000 How many Turing degrees are there? Zbl 0962.03033 Dougherty, Randall; Kechris, Alexander S. 4 2000 The complexity of the classification of Riemann surfaces and complex manifolds. Zbl 0954.03052 Hjorth, G.; Kechris, A. S. 3 2000 Descriptive dynamics. Zbl 0955.54012 Kechris, Alexander S. 3 2000 Countable structures with a fixed group of automorphisms. Zbl 0945.03072 Camerlo, Riccardo; Kechris, Alexander S. 1 2000 Descriptive set theory and dynamical systems. Based on the international workshop, July 1–5, 1996, Marseille-Luminy, France. Zbl 0940.00035 1 2000 Borel chromatic numbers. Zbl 0918.05052 Kechris, A. S.; Solecki, S.; Todorcevic, S. 104 1999 New directions in descriptive set theory. Zbl 0933.03057 Kechris, Alexander S. 21 1999 Measurable enumeration of eigenelements. Zbl 1013.47006 Gordon, Alexander Y.; Kechris, Alexander S. 4 1999 Borel equivalence relations induced by actions of the symmetric group. Zbl 0930.03058 Hjorth, Greg; Kechris, Alexander S.; Louveau, Alain 20 1998 The descriptive classification of some classes of \(C^*\)-algebras. Zbl 0995.03037 Kechris, Alexander S. 5 1998 Rigidity properties of Borel ideals on the integers. Zbl 0926.03057 Kechris, Alexander S. 4 1998 The classification of hypersmooth Borel equivalence relations. Zbl 0865.03039 Kechris, Alexander S.; Louveau, Alain 51 1997 New dichotomies for Borel equivalence relations. Zbl 0889.03038 Hjorth, Greg; Kechris, Alexander S. 20 1997 On the concept of \(\Pi^ 1_ 1\)-completeness. Zbl 0864.03034 Kechris, Alexander S. 13 1997 The descriptive set theory of Polish group actions. Zbl 0949.54052 Becker, Howard; Kechris, Alexander S. 240 1996 Borel equivalence relations and classifications of countable models. Zbl 0933.03056 Hjorth, Greg; Kechris, Alexander S. 38 1996 Classical descriptive set theory. Zbl 0819.04002 Kechris, Alexander S. 1,488 1995 Analytic equivalence relations and Ulm-type classifications. Zbl 0847.03023 Hjorth, Greg; Kechris, Alexander S. 15 1995 Approximation of analytic by Borel sets and definable countable chain conditions. Zbl 0827.54023 Kechris, A. S.; Solecki, S. 10 1995 Topology and descriptive set theory. Zbl 0805.54035 Kechris, Alexander S. 95 1994 The structure of hyperfinite Borel equivalence relations. Zbl 0803.28009 Dougherty, R.; Jackson, S.; Kechris, A. S. 91 1994 Countable sections for locally compact group actions. II. Zbl 0793.03052 Kechris, Alexander S. 2 1994 Borel actions of Polish groups. Zbl 0781.03033 Becker, Howard; Kechris, Alexander S. 11 1993 Amenable versus hyperfinite Borel equivalence relations. Zbl 0795.03067 Kechris, Alexander S. 5 1993 Countable sections for locally compact group actions. Zbl 0761.28014 Kechris, Alexander S. 38 1992 Descriptive set theory and harmonic analysis. Zbl 0766.03026 Kechris, A. S.; Louveau, A. 14 1992 The structure of Borel equivalence relations in Polish spaces. Zbl 0779.03016 Kechris, Alexander S. 10 1992 Hereditary properties of the class of closed sets of uniqueness for trigonometric series. Zbl 0769.42006 Kechris, Alexander S. 11 1991 Amenable equivalence relations and Turing degrees. Zbl 0734.03028 Kechris, Alexander S. 8 1991 A strong boundedness theorem for dilators. Zbl 0735.03019 Kechris, A. S.; Woodin, W. H. 6 1991 The complexity of antidifferentiation. Zbl 0739.26005 Dougherty, Randall; Kechris, Alexander S. 5 1991 Boundedness theorems for dilators and ptykes. Zbl 0735.03020 Kechris, Alexander S. 3 1991 A Glimm-Effros dichotomy for Borel equivalence relations. Zbl 0778.28011 Harrington, L. A.; Kechris, A. S.; Louveau, A. 110 1990 A classification of Baire class 1 functions. Zbl 0692.03031 Kechris, A. S.; Louveau, A. 33 1990 Covering theorems for uniqueness and extended uniqueness sets. Zbl 0753.28002 Kechris, Alexander S.; Louveau, Alain 2 1990 Descriptive set theory and the structure of sets of uniqueness. Zbl 0677.42009 Kechris, Alexander S.; Louveau, Alain 10 1989 \(\Pi^ 1_ 1\) Borel sets. Zbl 0686.03025 Kechris, Alexander S.; Marker, David; Sami, Ramez L. 8 1989 The descriptive set theory of \(\sigma\)-ideals of compact sets. Zbl 0683.03028 Kechris, Alexander S. 2 1989 Cabal seminar 81-85. Proceedings, Caltech-UCLA logic seminar 1981-1985, Los Angeles, CA (USA). Zbl 0638.00008 6 1988 Subsets of \(\aleph _ 1\) constructible from a real. Zbl 0653.03033 Kechris, Alexander S. 1 1988 A coding theorem for measures. Zbl 0654.03040 Kechris, Alexander S. 1 1988 “AD\(+uniformization''\) is equivalent to “half \(AD_ R''\). Zbl 0657.03041 Kechris, Alexander S. 1 1988 Ordinal rankings on measures annihilating thin sets. Zbl 0706.43007 Kechris, Alexander S.; Lyons, Russell 1 1988 Descriptive set theory and the structure of sets of uniqueness. Zbl 0642.42014 Kechris, Alexander S.; Louveau, Alain 53 1987 The structure of \(\sigma\)-ideals of compact sets. Zbl 0633.03043 Kechris, A. S.; Louveau, A.; Woodin, W. H. 44 1987 The set of continuous functions with everywhere convergent Fourier series. Zbl 0633.04004 Ajtai, M.; Kechris, A. S. 8 1987 The complexity of antidifferentiation, Denjoy totalization, and hyperarithmetic reals. Zbl 0667.26005 Kechris, Alexander S. 1 1987 Ranks of differentiable functions. Zbl 0618.03024 Kechris, Alexander S.; Woodin, W. Hugh 10 1986 On the relative consistency strength of determinacy hypotheses. Zbl 0586.03045 Kechris, Alexander S.; Solovay, Robert M. 13 1985 Determinacy with complicated strategies. Zbl 0588.03037 Kechris, Alexander S. 1 1985 The axiom of determinacy implies dependent choices in L(\({\mathbb{R}})\). Zbl 0584.03037 Kechris, Alexander S. 20 1984 Sets of ordinals constructible from trees and the third Victoria Delfino problem. Zbl 0629.03027 Becker, Howard S.; Kechris, Alexander S. 2 1984 Cabal Seminar 79-81. Proceedings, Caltech-UCLA Logic Seminar 1979-81. Zbl 0511.00005 17 1983 Equivalence of partition properties and determinacy. Zbl 0523.03035 Kechris, Alexander S.; Woodin, W. Hugh 16 1983 Introduction to Q-theory. Zbl 0582.03038 Kechris, Alexander S.; Martin, Donald A.; Solovay, Robert M. 4 1983 ...and 30 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,882 Authors 53 Kechris, Alexander S. 35 Banakh, Taras Onufrievich 33 Hjorth, Gregory 29 Miller, Benjamin David 29 Solecki, Sławomir 28 Gao, Su 27 Selivanov, Viktor L’vovich 27 Thomas, Simon R. 25 Kanovei, Vladimir G. 25 Todorcevic, Stevo B. 24 Elekes, Márton 24 Lecomte, Dominique 24 Ostaszewski, Adam J. 22 Lupini, Martino 22 Nešetřil, Jaroslav 21 Becker, Howard S. 21 Finkel, Olivier 21 Pol, Roman 21 Tucker-Drob, Robin D. 20 Rosendal, Christian 19 Camerlo, Riccardo 18 Głąb, Szymon 18 Lyubetsky, Vassily Aleksandrovich 18 Shelah, Saharon 17 Bingham, Nicholas Hugh 17 Bowen, Lewis Phylip 17 Ding, Longyun 17 Motto Ros, Luca 17 Vidnyánszky, Zoltán 16 Tsankov, Todor 15 Conley, Clinton Taylor 15 Friedman, Sy-David 15 Seward, Brandon M. 15 Skrzypczak, Michał 15 Uzcategui, Carlos Enrique 15 Zdoms’kyĭ, Lyubomyr Sergiĭovych 14 Coskey, Samuel 14 Hrušák, Michael 14 Mašulović, Dragan 14 Schlicht, Philipp 14 Törnquist, Asger 14 Zakrzewski, Piotr 13 Balcerzak, Marek 13 Farah, Ilijas 13 Glasner, Eli 13 Hubička, Jan 13 Le Maître, François 13 Sabok, Marcin 13 Zapletal, Jindřich 12 Clemens, John Daniel 12 Jackson, Stephen C. 12 Malicki, Maciej 12 Melleray, Julien 12 Steel, John R. 12 Zelený, Miroslav 11 Bernshteyn, Anton 11 Chatterjee, Krishnendu 11 Ferenczi, Valentin 11 Ioana, Adrian 11 Medini, Andrea 11 Sokić, Miodrag 11 Zucker, Andy 10 Aguilera, Juan Pablo 10 Beiglböck, Mathias 10 Bodirsky, Manuel 10 Carroy, Raphaël 10 Dodos, Pandelis 10 Doucha, Michal 10 Grebík, Jan 10 Guzmán González, Osvaldo 10 Kerr, David 10 Kiss, Viktor 10 Kubiś, Wiesław 10 Marcone, Alberto 10 Marks, Andrew S. 10 Michalewski, Henryk 10 Müller, Sandra 10 Nguyen Van Thé, Lionel 10 Pinsker, Michael 10 Trang, Nam 9 Balka, Richárd 9 Bartošová, Dana 9 Brattka, Vasco 9 Brian, William Rea 9 Calderoni, Filippo 9 Darji, Udayan B. 9 Elek, Gábor 9 Krupiński, Krzysztof 9 Kwiatkowska, Aleksandra 9 Lopez-Abad, Jordi 9 Louveau, Alain 9 Miller, Chris 9 Saint Raymond, Jean 9 Spurný, Jiří 9 van Mill, Jan 9 Vejnar, Benjamin 9 Woodin, W. Hugh 8 Argyros, Spiros A. 8 Di Prisco, Carlos Augusto 8 Doberkat, Ernst-Erich ...and 1,782 more Authors all top 5 Cited in 320 Serials 215 Topology and its Applications 158 The Journal of Symbolic Logic 144 Proceedings of the American Mathematical Society 140 Annals of Pure and Applied Logic 136 Transactions of the American Mathematical Society 111 Israel Journal of Mathematics 83 Advances in Mathematics 70 Journal of Mathematical Analysis and Applications 65 Ergodic Theory and Dynamical Systems 63 Archive for Mathematical Logic 50 Journal of Functional Analysis 48 Mathematical Logic Quarterly (MLQ) 42 Fundamenta Mathematicae 41 Journal of Mathematical Logic 38 The Bulletin of Symbolic Logic 29 Theoretical Computer Science 25 Groups, Geometry, and Dynamics 21 Inventiones Mathematicae 20 Journal of the American Mathematical Society 18 Memoirs of the American Mathematical Society 18 Journal of the European Mathematical Society (JEMS) 16 Monatshefte für Mathematik 16 Forum of Mathematics, Sigma 15 Annales de l’Institut Fourier 15 Journal of Algebra 15 Mathematische Annalen 15 Geometric and Functional Analysis. GAFA 15 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 14 Bulletin of the London Mathematical Society 14 European Journal of Combinatorics 13 Journal d’Analyse Mathématique 13 Notre Dame Journal of Formal Logic 12 Discrete Mathematics 12 Order 12 Logical Methods in Computer Science 11 Acta Mathematica Hungarica 10 Journal of the London Mathematical Society. Second Series 10 Information and Computation 10 Discrete and Continuous Dynamical Systems 10 Journal of Modern Dynamics 9 Duke Mathematical Journal 9 Results in Mathematics 9 Journal of Mathematical Sciences (New York) 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 The Annals of Probability 8 Journal of Combinatorial Theory. Series A 8 Mathematische Zeitschrift 8 RAIRO. Theoretical Informatics and Applications 8 European Journal of Mathematics 7 Communications in Mathematical Physics 7 Mathematical Notes 7 Journal of Economic Theory 7 Combinatorica 7 MSCS. Mathematical Structures in Computer Science 7 Indagationes Mathematicae. New Series 7 Topology Proceedings 7 Economic Theory 7 Annals of Mathematics. Second Series 7 Central European Journal of Mathematics 7 Annales Henri Lebesgue 6 Mathematika 6 Real Analysis Exchange 6 Forum Mathematicum 6 The Electronic Journal of Combinatorics 6 Electronic Journal of Probability 6 Oberwolfach Reports 6 Contributions to Discrete Mathematics 6 The Review of Symbolic Logic 6 Computability 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 Nonlinearity 5 Rocky Mountain Journal of Mathematics 5 Russian Mathematical Surveys 5 Archiv der Mathematik 5 Colloquium Mathematicum 5 Commentationes Mathematicae Universitatis Carolinae 5 Journal of Mathematical Economics 5 Journal of Pure and Applied Algebra 5 Probability Theory and Related Fields 5 Games and Economic Behavior 5 Bulletin of the American Mathematical Society. New Series 5 Theory of Computing Systems 5 Journal of the Institute of Mathematics of Jussieu 5 Journal of Logic and Analysis 4 Journal of Mathematical Physics 4 Algebra Universalis 4 Canadian Mathematical Bulletin 4 Dissertationes Mathematicae 4 Journal of Computer and System Sciences 4 Mathematische Nachrichten 4 Tôhoku Mathematical Journal. Second Series 4 Expositiones Mathematicae 4 Calculus of Variations and Partial Differential Equations 4 Filomat 4 Electronic Communications in Probability 4 Izvestiya: Mathematics 4 The Journal of Fourier Analysis and Applications 4 Sibirskie Èlektronnye Matematicheskie Izvestiya 4 Proceedings of the Steklov Institute of Mathematics 3 Studia Mathematica ...and 220 more Serials all top 5 Cited in 54 Fields 1,342 Mathematical logic and foundations (03-XX) 721 General topology (54-XX) 468 Dynamical systems and ergodic theory (37-XX) 381 Measure and integration (28-XX) 284 Functional analysis (46-XX) 281 Topological groups, Lie groups (22-XX) 253 Combinatorics (05-XX) 236 Group theory and generalizations (20-XX) 147 Computer science (68-XX) 132 Probability theory and stochastic processes (60-XX) 118 Real functions (26-XX) 110 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 86 Abstract harmonic analysis (43-XX) 74 Order, lattices, ordered algebraic structures (06-XX) 69 Manifolds and cell complexes (57-XX) 62 Operator theory (47-XX) 42 Harmonic analysis on Euclidean spaces (42-XX) 33 Number theory (11-XX) 31 Category theory; homological algebra (18-XX) 26 Functions of a complex variable (30-XX) 26 Calculus of variations and optimal control; optimization (49-XX) 26 Differential geometry (53-XX) 24 General algebraic systems (08-XX) 18 Convex and discrete geometry (52-XX) 18 Statistics (62-XX) 17 Sequences, series, summability (40-XX) 17 Operations research, mathematical programming (90-XX) 16 General and overarching topics; collections (00-XX) 16 Quantum theory (81-XX) 15 Global analysis, analysis on manifolds (58-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 13 Difference and functional equations (39-XX) 12 Potential theory (31-XX) 12 Partial differential equations (35-XX) 11 History and biography (01-XX) 11 Geometry (51-XX) 11 Algebraic topology (55-XX) 10 Field theory and polynomials (12-XX) 8 Statistical mechanics, structure of matter (82-XX) 8 Systems theory; control (93-XX) 7 Several complex variables and analytic spaces (32-XX) 7 Ordinary differential equations (34-XX) 6 Algebraic geometry (14-XX) 6 Biology and other natural sciences (92-XX) 6 Information and communication theory, circuits (94-XX) 5 Associative rings and algebras (16-XX) 5 Numerical analysis (65-XX) 3 Nonassociative rings and algebras (17-XX) 2 Commutative algebra (13-XX) 2 Approximations and expansions (41-XX) 2 Mechanics of particles and systems (70-XX) 1 \(K\)-theory (19-XX) 1 Special functions (33-XX) 1 Integral equations (45-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.