Edit Profile (opens in new tab) Kanovei, Vladimir G. Compute Distance To: Compute Author ID: kanovei.vladimir-g Published as: Kanovei, Vladimir; Kanovej, V. G.; Kanovei, V. G.; Kanovei, V.; Kanovei, Vladimir G.; Kanoveĭ, V. G.; Kanoveǐ, V. G.; Kanovej, V. External Links: ORCID · Wikidata · Math-Net.Ru · IdRef Documents Indexed: 158 Publications since 1973, including 4 Books 2 Contributions as Editor Co-Authors: 52 Co-Authors with 101 Joint Publications 1,083 Co-Co-Authors all top 5 Co-Authors 59 single-authored 35 Lyubetsky, Vassily Aleksandrovich 26 Reeken, Michael 21 Katz, Mikhail G. 11 Błaszczyk, Piotr 11 Sherry, David M. 10 Katz, Karin Usadi 7 Uspenskiĭ, Vladimir Andreevich 6 Kutateladze, Semën Samsonovich 5 Nowik, Tahl 4 Bair, Jacques 4 McGaffey, Thomas 4 Mormann, Thomas 4 Schaps, David M. 3 Bascelli, Tiziana 3 Kudryk, Taras S. 2 Borovik, Alexandre V. 2 Bottazzi, Emanuele 2 Ely, Robert 2 Felgner, Ulrich 2 Friedman, Sy-David 2 Grishin, V. N. 2 Hausdorff, Felix 2 Heinig, Peter 2 Henry, Valérie 2 Herrlich, Horst 2 Herzberg, Frederik S. 2 Hušek, Miroslav 2 Koepke, Peter 2 Preuß, Gerhard 2 Purkert, Walter 2 Scholz, Erhard 2 Shnider, Steven 2 Zapletal, Jindřich 1 Bagaria, Joan 1 Chatterji, Srishti Dhar 1 Christensen, Jens Peter Reus 1 Durand, Bruno 1 Enayat, Ali 1 Epple, Moritz 1 Fëdorov, Vladimir Semënovich 1 Fletcher, Peter 1 Gitman, Victoria 1 Golshani, Mohammad 1 Guillén, Elías Fuentes 1 Hrbáček, Karel 1 Lobry, Claude 1 Ostrovsky, Alexey Vladimirovich 1 Sabok, Marcin 1 Sanders, Sam 1 Schaps, Mary Elizabeth 1 Schindler, Ralf-Dieter 1 Shelah, Saharon 1 van Lambalgen, Michiel Marian Michiel 1 Vereshchagin, Nikolai K. all top 5 Serials 21 Mathematical Notes 9 Mathematical Logic Quarterly (MLQ) 7 Russian Mathematical Surveys 7 The Journal of Symbolic Logic 7 Foundations of Science 6 Fundamenta Mathematicae 6 Siberian Mathematical Journal 6 Soviet Mathematics. Doklady 5 Real Analysis Exchange 5 Studia Logica 5 Annals of Pure and Applied Logic 4 Matematicheskie Zametki 4 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 4 Archive for Mathematical Logic 4 Izvestiya: Mathematics 3 Moscow University Mathematics Bulletin 3 Topology and its Applications 2 Uspekhi Matematicheskikh Nauk [N. S.] 2 Applied Mathematics and Computation 2 Mathematica Japonica 2 Mathematics of the USSR. Izvestiya 2 Monatshefte für Mathematik 2 Sibirskiĭ Matematicheskiĭ Zhurnal 2 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 2 Notices of the American Mathematical Society 2 Matematychni Studiï 2 Journal of Mathematical Logic 2 Proceedings of the Steklov Institute of Mathematics 2 Open Mathematics 1 The Mathematical Intelligencer 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Journal of Soviet Mathematics 1 Mathematika 1 Notre Dame Journal of Formal Logic 1 Proceedings of the American Mathematical Society 1 Theoretical Computer Science 1 Mathematics of the USSR, Sbornik 1 Journal of Mathematical Sciences (New York) 1 Itogi Nauki i Tekhniki. Seriya Algebra. Topologiya. Geometriya 1 Sbornik: Mathematics 1 Cambridge Tracts in Mathematics 1 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 1 University Lecture Series 1 Logica Universalis 1 Quantum Studies: Mathematics and Foundations 1 Springer Monographs in Mathematics 1 British Journal for the History of Mathematics all top 5 Fields 140 Mathematical logic and foundations (03-XX) 19 History and biography (01-XX) 16 Real functions (26-XX) 11 Measure and integration (28-XX) 8 General topology (54-XX) 4 General and overarching topics; collections (00-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Group theory and generalizations (20-XX) 2 Sequences, series, summability (40-XX) 2 Approximations and expansions (41-XX) 2 Computer science (68-XX) 1 Combinatorics (05-XX) 1 Topological groups, Lie groups (22-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Mechanics of particles and systems (70-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 93 Publications have been cited 438 times in 198 Documents Cited by ▼ Year ▼ Borel equivalence relations. Structure and classification. Zbl 1155.03035Kanovei, Vladimir G. 37 2008 Nonstandard analysis, axiomatically. Zbl 1058.03002Kanovei, V.; Reeken, Michael 30 2004 Canonical Ramsey theory on Polish spaces. Zbl 1278.03001Kanovei, Vladimir; Sabok, Marcin; Zapletal, Jindřich 23 2013 Fermat, Leibniz, Euler, and the gang: the true history of the concepts of limit and shadow. Zbl 1338.26001Bascelli, Tiziana; Bottazzi, Emanuele; Herzberg, Frederik; Kanovei, Vladimir; Katz, Karin U.; Katz, Mikhail G.; Nowik, Tahl; Sherry, David; Shnider, Steven 17 2014 Is mathematical history written by the victors? Zbl 1334.01010Bair, Jacques; Błaszczyk, Piotr; Ely, Robert; Henry, Valérie; Kanovei, Vladimir; Katz, Karin U.; Katz, Mikhail G.; Kutateladze, Semen S.; McGaffey, Thomas; Schaps, David M.; Sherry, David; Shnider, Steven 14 2013 A definable nonstandard model of the reals. Zbl 1070.03044Kanovei, Vladimir; Shelah, Saharon 13 2004 A countable definable set containing no definable elements. Zbl 1420.03130Kanovei, V. G.; Lyubetsky, V. A. 13 2017 Approaches to analysis with infinitesimals following Robinson, Nelson, and others. Zbl 1435.03094Fletcher, Peter; Hrbacek, Karel; Kanovei, Vladimir; Katz, Mikhail G.; Lobry, Claude; Sanders, Sam 13 2017 A definable \(E_0\) class containing no definable elements. Zbl 1343.03040Kanovei, Vladimir; Lyubetsky, Vassily 12 2015 Tools, objects, and chimeras: Connes on the role of hyperreals in mathematics. Zbl 1392.03012Kanovei, Vladimir; Katz, Mikhail G.; Mormann, Thomas 12 2013 On non-wellfounded iterations of the perfect set forcing. Zbl 0930.03062Kanovei, Vladimir 10 1999 Internal approach to external sets and universes. I: Bounded set theory. Zbl 0837.03048Kanovei, Vladimir; Reeken, Michael 9 1995 An Ulm-type classification theorem for equivalence relations in Solovay model. Zbl 0895.03020Kanovei, Vladimir 9 1997 Undecidable hypotheses in Edward Nelson’s internal set theory. Zbl 0782.03028Kanovej, V. G. 8 1991 Toward a history of mathematics focused on procedures. Zbl 1398.01005Błaszczyk, Piotr; Kanovei, Vladimir; Katz, Karin U.; Katz, Mikhail G.; Kutateladze, Semen S.; Sherry, David 8 2017 Counterexamples to countable-section \(\varPi_2^1\) uniformization and \(\varPi_3^1\) separation. Zbl 1403.03086Kanovei, Vladimir; Lyubetsky, Vassily 7 2016 Euler’s lute and Edwards’s oud. Zbl 1342.01017Kanovei, Vladimir; Katz, Karin U.; Katz, Mikhail G.; Sherry, David 6 2015 On some classical problems in descriptive set theory. Zbl 1064.03031Kanovej, V. G.; Lyubetskij, V. A. 6 2003 Non-Glimm-Effros equivalence relations at second projective level. Zbl 0883.03034Kanovei, Vladimir 6 1997 When a partial Borel order is linearizable. Zbl 0909.03041Kanovei, Vladimir 6 1998 An effective minimal encoding of uncountable sets. Zbl 1252.03113Kanovei, V. G.; Lyubetsky, V. A. 5 2011 Internal approach to external sets and universes. II: External universes over the universe of bounded set theory. Zbl 0855.03042Kanovei, Vladimir; Reeken, Michael 5 1995 Non-uniformizable sets with countable cross-sections on a given level of the projective hierarchy. Zbl 1472.03059Kanovei, Vladimir; Lyubetsky, Vassily 5 2019 Gregory’s sixth operation. Zbl 1398.01052Bascelli, Tiziana; Błaszczyk, Piotr; Kanovei, Vladimir; Katz, Karin U.; Katz, Mikhail G.; Kutateladze, Semen S.; Nowik, Tahl; Schaps, David M.; Sherry, David 5 2018 A non-standard analysis of a cultural icon: the case of Paul Halmos. Zbl 1365.01032Błaszczyk, Piotr; Borovik, Alexandre; Kanovei, Vladimir; Katz, Mikhail G.; Kudryk, Taras; Kutateladze, Semen S.; Sherry, David 4 2016 Collected works. Vol. III: Set theory (1927, 1935). Descriptive set theory and topology. Edited by U. Felgner, H. Herrlich, M. Hušek, V. Kanovei, P. Koepke, G. Preuß, W. Purkert und E. Scholz. (Gesammelte Werke. Band III: Mengenlehre (1927, 1935). Deskriptive Mengenlehre und Topologie.) Zbl 1149.01022Hausdorff, Felix 4 2008 Problems of set-theoretic non-standard analysis. Zbl 1226.03067Kanoveĭ, V. G.; Lyubetskiĭ, V. A. 4 2007 New Radon-Nikodym ideals. Zbl 1025.03045Kanovei, Vladimir; Reeken, Michael 4 2000 Some new results on the Borel irreducibility of equivalence relations. Zbl 1068.03036Kanovej, V. G.; Reeken, M. 4 2003 Two dichotomy theorems on colourability of non-analytic graphs. Zbl 0883.03035Kanovei, Vladimir 4 1997 On the nonemptiness of classes in axiomatic set theory. Zbl 0427.03044Kanovej, V. G. 4 1978 On mathematical realism and applicability of hyperreals. Zbl 1436.00032Bottazzi, E.; Kanovei, V.; Katz, M.; Mormann, T.; Sherry, D. 4 2019 Cauchy, infinitesimals and ghosts of departed quantifiers. Zbl 1476.01006Bair, J.; Błaszczyk, P.; Ely, R.; Henry, V.; Kanovei, V.; Katz, K. U.; Katz, M. G.; Kudryk, T.; Kutateladze, S. S.; McGaffey, T.; Mormann, T.; Schaps, D. M.; Sherry, D. 4 2017 Proofs and retributions, or: why Sarah can’t take limits. Zbl 1368.00021Kanovei, Vladimir; Katz, Karin U.; Katz, Mikhail G.; Schaps, Mary 4 2015 Countable OD sets of reals belong to the ground model. Zbl 06860714Kanovei, Vladimir; Lyubetsky, Vassily 4 2018 Non-uniformizable sets of second projective level with countable cross-sections in the form of Vitali classes. Zbl 1446.03081Kanovei, Vladimir G.; Lyubetsky, Vassily A. 4 2018 Cauchy’s infinitesimals, his sum theorem, and foundational paradigms. Zbl 1398.01014Bascelli, Tiziana; Błaszczyk, Piotr; Borovik, Alexandre; Kanovei, Vladimir; Katz, Karin U.; Katz, Mikhail G.; Kutateladze, Semen S.; McGaffey, Thomas; Schaps, David M.; Sherry, David 4 2018 Generalization of one construction by Solovay. Zbl 1347.03090Kanovei, V. G.; Lyubetsky, V. A. 3 2015 Internal approach to external sets and universes. III. Partially saturated universes. Zbl 0855.03043Kanovei, Vladimir; Reeken, Michael 3 1996 Uniqueness, collection, and external collapse of cardinals in IST and models of Peano arithmetic. Zbl 0820.03034Kanovei, V. 3 1995 On coding uncountable sets by reals. Zbl 1200.03032Bagaria, Joan; Kanovei, Vladimir 3 2010 A theorem on ROD-hypersmooth equivalence relations in the Solovay model. Zbl 1026.03033Kanovei, Vladimir; Reeken, Michael 3 2003 Linearization of definable order relations. Zbl 0942.03055Kanovei, Vladimir 3 2000 On Baire measurable homomorphisms of quotients of the additive group of the reals. Zbl 0972.03045Kanovei, Vladimir; Reeken, Michael 3 2000 Mathematics in a nonstandard world. I. Zbl 0887.03044Kanovei, Vladimir; Reeken, Michael 3 1997 Topologies generated by effectively Suslin sets, and their applications in descriptive set theory. Zbl 0878.54022Kanovei, V. G. 3 1996 The set of all analytically definable sets of natural numbers can be defined analytically. Zbl 0452.03041Kanovej, V. G. 3 1980 A Groszek-Laver pair of undistinguishable \(\mathsf{E}_0\)-classes. Zbl 1437.03146Golshani, Mohammad; Kanovei, Vladimir; Lyubetsky, Vassily 3 2017 A model of second-order arithmetic satisfying AC but not DC. Zbl 07077420Friedman, Sy-David; Gitman, Victoria; Kanovei, Vladimir 3 2019 Continuity between Cauchy and Bolzano: issues of antecedents and priority. Zbl 1461.01010Bair, Jacques; Błaszczyk, Piotr; Fuentes Guillén, Elías; Heinig, Peter; Kanovei, Vladimir; Katz, Mikhail G. 3 2020 Small oscillations of the pendulum, Euler’s method, and adequality. Zbl 1404.70014Kanovei, Vladimir; Katz, Karin U.; Katz, Mikhail G.; Nowik, Tahl 3 2016 Controversies in the foundations of analysis: comments on Schubring’s Conflicts. Zbl 1368.01021Błaszczyk, Piotr; Kanovei, Vladimir; Katz, Mikhail G.; Sherry, David 3 2017 A generic property of the Solovay set \(\Sigma\). Zbl 1420.03133Kanovei, V. G.; Lyubetsky, V. A. 3 2017 A positive function with vanishing Lebesgue integral in Zermelo-Fraenkel set theory. Zbl 1423.03180Kanovei, Vladimir; Katz, Mikhail 3 2017 Definable \(\mathsf{E}_0\) classes at arbitrary projective levels. Zbl 1426.03028Kanovei, Vladimir; Lyubetsky, Vassily 3 2018 Cardinality of the set of Vitali equivalence classes. Zbl 0742.03016Kanovej, V. G. 2 1991 The correctness of Euler’s method for the factorization of the sine function into an infinite product. Zbl 0713.41013Kanovej, V. G. 2 1988 Ulm classification of analytic equivalence relations in generic universes. Zbl 0921.03048Kanovei, Vladimir 2 1998 On Hausdorff ordered structures. Zbl 1220.03045Kanoveĭ, V. G. 2 2009 Lebesgue measure and gambling. Zbl 1171.28300Kanoveǐ, V. G.; Linton, T.; Uspensky, V. A. 2 2008 Extending standard models of ZFC to models of nonstandard set theories. Zbl 0969.03072Kanovei, Vladimir; Reeken, Michael 2 2000 A nonstandard set theory in the \(\in\)-language. Zbl 1002.03044Kanovei, Vladimir; Reeken, Michael 2 2000 Collected works. Vol. II: Foundations of set theory. (Gesammelte Werke. Band II: Grundzüge der Mengenlehre. Herausgegeben von E. Brieskorn, S. D. Chatterji, M. Epple, U. Felgner, H. Herrlich, M. Hušek, V. Kanovei, P. Koepke, G. Preuß, W. Purkert und E. Scholz.) Zbl 1010.01031Hausdorff, Felix 2 2002 Über das Nichtleersein von Klassen in der axiomatischen Mengentheorie. Zbl 0409.03031Kanovei, V. G. 2 1978 Borel OD sets of reals are OD-Borel in some simple models. Zbl 06998158Kanovei, Vladimir; Lyubetsky, Vassily 2 2019 A cofinal family of equivalence relations and Borel ideals generating them. Zbl 1351.37015Kanovei, V. G.; Lyubetsky, V. A. 2 2006 On effective \(\sigma \)-boundedness and \(\sigma \)-compactness. Zbl 1283.03080Kanovei, Vladimir; Lyubetsky, Vassily 2 2013 An infinity which depends on the axiom of choice. Zbl 1254.03086Kanovei, Vladimir; Lyubetsky, Vassily 2 2012 Minimal axiomatic frameworks for definable hyperreals with transfer. Zbl 1447.03014Herzberg, Frederik S.; Kanovei, Vladimir; Katz, Mikhail; Lyubetsky, Vassily 2 2018 Definable minimal collapse functions at arbitrary projective levels. Zbl 1453.03053Kanovei, Vladimir; Lyubetsky, Vassily 2 2019 Undecidable and decidable properties of constituents. Zbl 0598.03041Kanovej, V. G. 1 1985 The axiom of choice and the axiom of determinateness. (Aksioma vybora i aksioma determinirovannosti). Zbl 0599.03053Kanovej, V. G. 1 1984 The axiom of determinacy and the modern development of descriptive set theory. Zbl 0636.03046Kanovej, V. G. 1 1988 On countable cofinality and decomposition of definable thin orderings. Zbl 1432.03089Kanovei, Vladimir; Lyubetsky, Vassily 1 2016 On “star” schemata of Kossak and Paris. Zbl 0917.03019Kanovei, Vladimir 1 1998 On external Scott algebras in nonstandard models of Peano arithmetic. Zbl 0859.03034Kanovei, Vladimir 1 1996 On Ulam stability of the real line. Zbl 0994.03040Kanovei, Vladimir; Reeken, Michael 1 2001 On Ulam’s problem of stability of non-exact homomorphisms. Zbl 0995.03036Kanovej, V.; Reeken, M. 1 2000 Development of descriptive set theory under the influence of N. N. Luzin’s memoirs. Zbl 0578.01022Kanovej, V. G. 1 1985 Some natural equivalence relations in the Solovay model. Zbl 1204.03048Friedman, Sy-David; Kanovei, Vladimir 1 2008 On initial segments of degrees of constructibility. Zbl 0344.02046Kanovei, V. G. 1 1975 Borel and countably determined reducibility in nonstandard domain. Zbl 1084.03051Kanovei, Vladimir; Reeken, Michael 1 2003 Kolmogorov’s ideas in the theory of operations on sets. Zbl 0671.04001Kanovej, V. G. 1 1988 Extension of standard models of ZFC to models of Nelson’s nonstandard set theory IST. Zbl 0955.03070Kanovei, V. G.; Reeken, M. 1 1999 Elementary extensions of external classes in a nonstandard universe. Zbl 0956.03054Kanovei, Vladimir; Reeken, Michael 1 1998 On Borel orderable groups. Zbl 0968.03054Christensen, J. P. R.; Kanovei, Vladimir; Reeken, Michael 1 2001 Problem of the existence of nonborel \(AF_{\|}\)-sets. Zbl 0586.03039Kanovej, V. G. 1 1985 Isomorphism property in nonstandard extensions of the \(\mathbf Z\mathbf F\mathbf C\) universe. Zbl 0883.03040Kanovei, Vladimir; Reeken, Michael 1 1997 Mathematics in a nonstandard world. II. Zbl 0894.03037Kanovei, Vladimir; Reeken, Michael 1 1997 Effective compactness and sigma-compactness. Zbl 1286.03144Kanovei, V. G.; Lyubetsky, V. A. 1 2012 Is Leibnizian calculus embeddable in first order logic? Zbl 1398.03223Błaszczyk, Piotr; Kanovei, Vladimir; Katz, Karin U.; Katz, Mikhail G.; Kudryk, Taras; Mormann, Thomas; Sherry, David 1 2017 Definable elements of definable Borel sets. Zbl 07128207Kanovei, V. G.; Lyubetsky, V. A. 1 2019 An unpublished theorem of Solovay on OD partitions of reals into two non-OD parts, revisited. Zbl 07419664Enayat, Ali; Kanovei, Vladimir 1 2021 An unpublished theorem of Solovay on OD partitions of reals into two non-OD parts, revisited. Zbl 07419664Enayat, Ali; Kanovei, Vladimir 1 2021 Continuity between Cauchy and Bolzano: issues of antecedents and priority. Zbl 1461.01010Bair, Jacques; Błaszczyk, Piotr; Fuentes Guillén, Elías; Heinig, Peter; Kanovei, Vladimir; Katz, Mikhail G. 3 2020 Non-uniformizable sets with countable cross-sections on a given level of the projective hierarchy. Zbl 1472.03059Kanovei, Vladimir; Lyubetsky, Vassily 5 2019 On mathematical realism and applicability of hyperreals. Zbl 1436.00032Bottazzi, E.; Kanovei, V.; Katz, M.; Mormann, T.; Sherry, D. 4 2019 A model of second-order arithmetic satisfying AC but not DC. Zbl 07077420Friedman, Sy-David; Gitman, Victoria; Kanovei, Vladimir 3 2019 Borel OD sets of reals are OD-Borel in some simple models. Zbl 06998158Kanovei, Vladimir; Lyubetsky, Vassily 2 2019 Definable minimal collapse functions at arbitrary projective levels. Zbl 1453.03053Kanovei, Vladimir; Lyubetsky, Vassily 2 2019 Definable elements of definable Borel sets. Zbl 07128207Kanovei, V. G.; Lyubetsky, V. A. 1 2019 Gregory’s sixth operation. Zbl 1398.01052Bascelli, Tiziana; Błaszczyk, Piotr; Kanovei, Vladimir; Katz, Karin U.; Katz, Mikhail G.; Kutateladze, Semen S.; Nowik, Tahl; Schaps, David M.; Sherry, David 5 2018 Countable OD sets of reals belong to the ground model. Zbl 06860714Kanovei, Vladimir; Lyubetsky, Vassily 4 2018 Non-uniformizable sets of second projective level with countable cross-sections in the form of Vitali classes. Zbl 1446.03081Kanovei, Vladimir G.; Lyubetsky, Vassily A. 4 2018 Cauchy’s infinitesimals, his sum theorem, and foundational paradigms. Zbl 1398.01014Bascelli, Tiziana; Błaszczyk, Piotr; Borovik, Alexandre; Kanovei, Vladimir; Katz, Karin U.; Katz, Mikhail G.; Kutateladze, Semen S.; McGaffey, Thomas; Schaps, David M.; Sherry, David 4 2018 Definable \(\mathsf{E}_0\) classes at arbitrary projective levels. Zbl 1426.03028Kanovei, Vladimir; Lyubetsky, Vassily 3 2018 Minimal axiomatic frameworks for definable hyperreals with transfer. Zbl 1447.03014Herzberg, Frederik S.; Kanovei, Vladimir; Katz, Mikhail; Lyubetsky, Vassily 2 2018 A countable definable set containing no definable elements. Zbl 1420.03130Kanovei, V. G.; Lyubetsky, V. A. 13 2017 Approaches to analysis with infinitesimals following Robinson, Nelson, and others. Zbl 1435.03094Fletcher, Peter; Hrbacek, Karel; Kanovei, Vladimir; Katz, Mikhail G.; Lobry, Claude; Sanders, Sam 13 2017 Toward a history of mathematics focused on procedures. Zbl 1398.01005Błaszczyk, Piotr; Kanovei, Vladimir; Katz, Karin U.; Katz, Mikhail G.; Kutateladze, Semen S.; Sherry, David 8 2017 Cauchy, infinitesimals and ghosts of departed quantifiers. Zbl 1476.01006Bair, J.; Błaszczyk, P.; Ely, R.; Henry, V.; Kanovei, V.; Katz, K. U.; Katz, M. G.; Kudryk, T.; Kutateladze, S. S.; McGaffey, T.; Mormann, T.; Schaps, D. M.; Sherry, D. 4 2017 A Groszek-Laver pair of undistinguishable \(\mathsf{E}_0\)-classes. Zbl 1437.03146Golshani, Mohammad; Kanovei, Vladimir; Lyubetsky, Vassily 3 2017 Controversies in the foundations of analysis: comments on Schubring’s Conflicts. Zbl 1368.01021Błaszczyk, Piotr; Kanovei, Vladimir; Katz, Mikhail G.; Sherry, David 3 2017 A generic property of the Solovay set \(\Sigma\). Zbl 1420.03133Kanovei, V. G.; Lyubetsky, V. A. 3 2017 A positive function with vanishing Lebesgue integral in Zermelo-Fraenkel set theory. Zbl 1423.03180Kanovei, Vladimir; Katz, Mikhail 3 2017 Is Leibnizian calculus embeddable in first order logic? Zbl 1398.03223Błaszczyk, Piotr; Kanovei, Vladimir; Katz, Karin U.; Katz, Mikhail G.; Kudryk, Taras; Mormann, Thomas; Sherry, David 1 2017 Counterexamples to countable-section \(\varPi_2^1\) uniformization and \(\varPi_3^1\) separation. Zbl 1403.03086Kanovei, Vladimir; Lyubetsky, Vassily 7 2016 A non-standard analysis of a cultural icon: the case of Paul Halmos. Zbl 1365.01032Błaszczyk, Piotr; Borovik, Alexandre; Kanovei, Vladimir; Katz, Mikhail G.; Kudryk, Taras; Kutateladze, Semen S.; Sherry, David 4 2016 Small oscillations of the pendulum, Euler’s method, and adequality. Zbl 1404.70014Kanovei, Vladimir; Katz, Karin U.; Katz, Mikhail G.; Nowik, Tahl 3 2016 On countable cofinality and decomposition of definable thin orderings. Zbl 1432.03089Kanovei, Vladimir; Lyubetsky, Vassily 1 2016 A definable \(E_0\) class containing no definable elements. Zbl 1343.03040Kanovei, Vladimir; Lyubetsky, Vassily 12 2015 Euler’s lute and Edwards’s oud. Zbl 1342.01017Kanovei, Vladimir; Katz, Karin U.; Katz, Mikhail G.; Sherry, David 6 2015 Proofs and retributions, or: why Sarah can’t take limits. Zbl 1368.00021Kanovei, Vladimir; Katz, Karin U.; Katz, Mikhail G.; Schaps, Mary 4 2015 Generalization of one construction by Solovay. Zbl 1347.03090Kanovei, V. G.; Lyubetsky, V. A. 3 2015 Fermat, Leibniz, Euler, and the gang: the true history of the concepts of limit and shadow. Zbl 1338.26001Bascelli, Tiziana; Bottazzi, Emanuele; Herzberg, Frederik; Kanovei, Vladimir; Katz, Karin U.; Katz, Mikhail G.; Nowik, Tahl; Sherry, David; Shnider, Steven 17 2014 Canonical Ramsey theory on Polish spaces. Zbl 1278.03001Kanovei, Vladimir; Sabok, Marcin; Zapletal, Jindřich 23 2013 Is mathematical history written by the victors? Zbl 1334.01010Bair, Jacques; Błaszczyk, Piotr; Ely, Robert; Henry, Valérie; Kanovei, Vladimir; Katz, Karin U.; Katz, Mikhail G.; Kutateladze, Semen S.; McGaffey, Thomas; Schaps, David M.; Sherry, David; Shnider, Steven 14 2013 Tools, objects, and chimeras: Connes on the role of hyperreals in mathematics. Zbl 1392.03012Kanovei, Vladimir; Katz, Mikhail G.; Mormann, Thomas 12 2013 On effective \(\sigma \)-boundedness and \(\sigma \)-compactness. Zbl 1283.03080Kanovei, Vladimir; Lyubetsky, Vassily 2 2013 An infinity which depends on the axiom of choice. Zbl 1254.03086Kanovei, Vladimir; Lyubetsky, Vassily 2 2012 Effective compactness and sigma-compactness. Zbl 1286.03144Kanovei, V. G.; Lyubetsky, V. A. 1 2012 An effective minimal encoding of uncountable sets. Zbl 1252.03113Kanovei, V. G.; Lyubetsky, V. A. 5 2011 On coding uncountable sets by reals. Zbl 1200.03032Bagaria, Joan; Kanovei, Vladimir 3 2010 On Hausdorff ordered structures. Zbl 1220.03045Kanoveĭ, V. G. 2 2009 Borel equivalence relations. Structure and classification. Zbl 1155.03035Kanovei, Vladimir G. 37 2008 Collected works. Vol. III: Set theory (1927, 1935). Descriptive set theory and topology. Edited by U. Felgner, H. Herrlich, M. Hušek, V. Kanovei, P. Koepke, G. Preuß, W. Purkert und E. Scholz. (Gesammelte Werke. Band III: Mengenlehre (1927, 1935). Deskriptive Mengenlehre und Topologie.) Zbl 1149.01022Hausdorff, Felix 4 2008 Lebesgue measure and gambling. Zbl 1171.28300Kanoveǐ, V. G.; Linton, T.; Uspensky, V. A. 2 2008 Some natural equivalence relations in the Solovay model. Zbl 1204.03048Friedman, Sy-David; Kanovei, Vladimir 1 2008 Problems of set-theoretic non-standard analysis. Zbl 1226.03067Kanoveĭ, V. G.; Lyubetskiĭ, V. A. 4 2007 A cofinal family of equivalence relations and Borel ideals generating them. Zbl 1351.37015Kanovei, V. G.; Lyubetsky, V. A. 2 2006 Nonstandard analysis, axiomatically. Zbl 1058.03002Kanovei, V.; Reeken, Michael 30 2004 A definable nonstandard model of the reals. Zbl 1070.03044Kanovei, Vladimir; Shelah, Saharon 13 2004 On some classical problems in descriptive set theory. Zbl 1064.03031Kanovej, V. G.; Lyubetskij, V. A. 6 2003 Some new results on the Borel irreducibility of equivalence relations. Zbl 1068.03036Kanovej, V. G.; Reeken, M. 4 2003 A theorem on ROD-hypersmooth equivalence relations in the Solovay model. Zbl 1026.03033Kanovei, Vladimir; Reeken, Michael 3 2003 Borel and countably determined reducibility in nonstandard domain. Zbl 1084.03051Kanovei, Vladimir; Reeken, Michael 1 2003 Collected works. Vol. II: Foundations of set theory. (Gesammelte Werke. Band II: Grundzüge der Mengenlehre. Herausgegeben von E. Brieskorn, S. D. Chatterji, M. Epple, U. Felgner, H. Herrlich, M. Hušek, V. Kanovei, P. Koepke, G. Preuß, W. Purkert und E. Scholz.) Zbl 1010.01031Hausdorff, Felix 2 2002 On Ulam stability of the real line. Zbl 0994.03040Kanovei, Vladimir; Reeken, Michael 1 2001 On Borel orderable groups. Zbl 0968.03054Christensen, J. P. R.; Kanovei, Vladimir; Reeken, Michael 1 2001 New Radon-Nikodym ideals. Zbl 1025.03045Kanovei, Vladimir; Reeken, Michael 4 2000 Linearization of definable order relations. Zbl 0942.03055Kanovei, Vladimir 3 2000 On Baire measurable homomorphisms of quotients of the additive group of the reals. Zbl 0972.03045Kanovei, Vladimir; Reeken, Michael 3 2000 Extending standard models of ZFC to models of nonstandard set theories. Zbl 0969.03072Kanovei, Vladimir; Reeken, Michael 2 2000 A nonstandard set theory in the \(\in\)-language. Zbl 1002.03044Kanovei, Vladimir; Reeken, Michael 2 2000 On Ulam’s problem of stability of non-exact homomorphisms. Zbl 0995.03036Kanovej, V.; Reeken, M. 1 2000 On non-wellfounded iterations of the perfect set forcing. Zbl 0930.03062Kanovei, Vladimir 10 1999 Extension of standard models of ZFC to models of Nelson’s nonstandard set theory IST. Zbl 0955.03070Kanovei, V. G.; Reeken, M. 1 1999 When a partial Borel order is linearizable. Zbl 0909.03041Kanovei, Vladimir 6 1998 Ulm classification of analytic equivalence relations in generic universes. Zbl 0921.03048Kanovei, Vladimir 2 1998 On “star” schemata of Kossak and Paris. Zbl 0917.03019Kanovei, Vladimir 1 1998 Elementary extensions of external classes in a nonstandard universe. Zbl 0956.03054Kanovei, Vladimir; Reeken, Michael 1 1998 An Ulm-type classification theorem for equivalence relations in Solovay model. Zbl 0895.03020Kanovei, Vladimir 9 1997 Non-Glimm-Effros equivalence relations at second projective level. Zbl 0883.03034Kanovei, Vladimir 6 1997 Two dichotomy theorems on colourability of non-analytic graphs. Zbl 0883.03035Kanovei, Vladimir 4 1997 Mathematics in a nonstandard world. I. Zbl 0887.03044Kanovei, Vladimir; Reeken, Michael 3 1997 Isomorphism property in nonstandard extensions of the \(\mathbf Z\mathbf F\mathbf C\) universe. Zbl 0883.03040Kanovei, Vladimir; Reeken, Michael 1 1997 Mathematics in a nonstandard world. II. Zbl 0894.03037Kanovei, Vladimir; Reeken, Michael 1 1997 Internal approach to external sets and universes. III. Partially saturated universes. Zbl 0855.03043Kanovei, Vladimir; Reeken, Michael 3 1996 Topologies generated by effectively Suslin sets, and their applications in descriptive set theory. Zbl 0878.54022Kanovei, V. G. 3 1996 On external Scott algebras in nonstandard models of Peano arithmetic. Zbl 0859.03034Kanovei, Vladimir 1 1996 Internal approach to external sets and universes. I: Bounded set theory. Zbl 0837.03048Kanovei, Vladimir; Reeken, Michael 9 1995 Internal approach to external sets and universes. II: External universes over the universe of bounded set theory. Zbl 0855.03042Kanovei, Vladimir; Reeken, Michael 5 1995 Uniqueness, collection, and external collapse of cardinals in IST and models of Peano arithmetic. Zbl 0820.03034Kanovei, V. 3 1995 Undecidable hypotheses in Edward Nelson’s internal set theory. Zbl 0782.03028Kanovej, V. G. 8 1991 Cardinality of the set of Vitali equivalence classes. Zbl 0742.03016Kanovej, V. G. 2 1991 The correctness of Euler’s method for the factorization of the sine function into an infinite product. Zbl 0713.41013Kanovej, V. G. 2 1988 The axiom of determinacy and the modern development of descriptive set theory. Zbl 0636.03046Kanovej, V. G. 1 1988 Kolmogorov’s ideas in the theory of operations on sets. Zbl 0671.04001Kanovej, V. G. 1 1988 Undecidable and decidable properties of constituents. Zbl 0598.03041Kanovej, V. G. 1 1985 Development of descriptive set theory under the influence of N. N. Luzin’s memoirs. Zbl 0578.01022Kanovej, V. G. 1 1985 Problem of the existence of nonborel \(AF_{\|}\)-sets. Zbl 0586.03039Kanovej, V. G. 1 1985 The axiom of choice and the axiom of determinateness. (Aksioma vybora i aksioma determinirovannosti). Zbl 0599.03053Kanovej, V. G. 1 1984 The set of all analytically definable sets of natural numbers can be defined analytically. Zbl 0452.03041Kanovej, V. G. 3 1980 On the nonemptiness of classes in axiomatic set theory. Zbl 0427.03044Kanovej, V. G. 4 1978 Über das Nichtleersein von Klassen in der axiomatischen Mengentheorie. Zbl 0409.03031Kanovei, V. G. 2 1978 On initial segments of degrees of constructibility. Zbl 0344.02046Kanovei, V. G. 1 1975 all cited Publications top 5 cited Publications all top 5 Cited by 153 Authors 67 Kanovei, Vladimir G. 31 Lyubetsky, Vassily Aleksandrovich 25 Katz, Mikhail G. 10 Błaszczyk, Piotr 10 Reeken, Michael 9 Katz, Karin Usadi 9 Sanders, Sam 9 Sherry, David M. 8 Herzberg, Frederik S. 8 Kutateladze, Semën Samsonovich 6 Zapletal, Jindřich 5 Van den Berg, Imme Pieter 4 Bair, Jacques 4 Ding, Longyun 4 Friedman, Sy-David 4 Kudryk, Taras S. 4 Nowik, Tahl 4 Shelah, Saharon 4 Thomas, Simon R. 3 Borovik, Alexandre V. 3 Bottazzi, Emanuele 3 Enayat, Ali 3 Hrbáček, Karel 3 Miller, Benjamin David 3 Mormann, Thomas 3 Sabok, Marcin 3 Tran, Nam-Van 2 Andreev, P. V. 2 Bascelli, Tiziana 2 Budinas, B. L. 2 Dean, Walter 2 Dinis, Bruno 2 Doucha, Michal 2 Du, Guoping 2 Farah, Ilijas 2 Forrest, Jeffrey Yi-Lin 2 Gong, Ningsheng 2 Gordon, Evgeniĭ Izrail’evich 2 Heinig, Peter 2 Impens, Chris 2 Larson, Paul B. 2 McGaffey, Thomas 2 McKenzie, Zachiri 2 Schaps, David M. 2 Törnquist, Asger 2 Trlifajová, Kateřina 2 Vidnyánszky, Zoltán 2 Zakrzewski, Piotr 2 Zhu, Wujia 1 Abdeljalil, Saghe 1 Albeverio, Sergio A. 1 Andreev, Petr 1 Arthur, Richard T. W. 1 Bagaria, Joan 1 Baldwin, John T. 1 Barabash, G. M. 1 Benci, Vieri 1 Berenguer, Joaquim 1 Bianchini, Stefano 1 Boute, Raymond T. 1 Bowler, Nathan 1 Brendle, Jörg 1 Calderoni, Filippo 1 Caravenna, Laura 1 Carmesin, Johannes 1 Carroy, Raphaël 1 Christensen, Jens Peter Reus 1 Clemens, John Daniel 1 Cococcioni, Marco 1 Cowles, John R. 1 Crippa, Davide 1 Di Nasso, Mauro 1 Di Nola, Antonio 1 Drucker, Ohad 1 Durand, Bruno 1 Edwards, Harold Mortimer jun. 1 Ellis, Paul 1 Ely, Robert 1 Finkel, Olivier 1 Fokina, Ekaterina B. 1 Gamboa, Ruben A. 1 Gitman, Victoria 1 Glebsky, Lev Yu. 1 Gogacz, Tomasz 1 Golshani, Mohammad 1 Gorelov, Mikhail Aleksandrovich 1 Grebík, Jan 1 Gu, Kai 1 Guillén, Elías Fuentes 1 Gutman, Aleksandr Efimovich 1 Henson, C. Ward 1 Hjorth, Gregory 1 Hrušák, Michael 1 Jin, Renling 1 Jungić, Ozren 1 Jungić, Veselin M. 1 Junnila, Heikki J. K. 1 Katz, Boris 1 Kaufmann, Matt 1 Kaya, Burak ...and 53 more Authors all top 5 Cited in 70 Serials 21 The Journal of Symbolic Logic 17 Annals of Pure and Applied Logic 10 Mathematical Notes 10 Foundations of Science 9 Mathematical Logic Quarterly (MLQ) 8 Archive for Mathematical Logic 7 Journal of Mathematical Logic 6 Proceedings of the American Mathematical Society 6 Transactions of the American Mathematical Society 5 Siberian Mathematical Journal 4 Topology and its Applications 4 The Bulletin of Symbolic Logic 4 British Journal for the History of Mathematics 3 The Mathematical Intelligencer 3 Fundamenta Mathematicae 3 Notre Dame Journal of Formal Logic 3 Studia Logica 3 Indagationes Mathematicae. New Series 3 Open Mathematics 2 Archive for History of Exact Sciences 2 Israel Journal of Mathematics 2 Applied Mathematics and Computation 2 Kybernetes 2 Synthese 2 Optimization 2 Journal of Mathematical Sciences (New York) 2 Bulletin des Sciences Mathématiques 2 Izvestiya: Mathematics 2 Matematychni Studiï 2 Erkenntnis 2 Logica Universalis 2 Journal of Applied and Industrial Mathematics 2 The Review of Symbolic Logic 1 Journal of Mathematical Analysis and Applications 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Mathematica Vietnamica 1 Canadian Mathematical Bulletin 1 Commentationes Mathematicae Universitatis Carolinae 1 Journal of Combinatorial Theory. Series B 1 Mathematische Annalen 1 Mathematika 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Real Analysis Exchange 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Theoretical Computer Science 1 Theory and Decision 1 Combinatorica 1 Chinese Annals of Mathematics. Series B 1 Acta Mathematica Hungarica 1 Information and Computation 1 Journal of Automated Reasoning 1 Automation and Remote Control 1 Historia Mathematica 1 SIAM Review 1 Stochastic Processes and their Applications 1 Journal of Group Theory 1 Journal of Nonlinear Mathematical Physics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 Proceedings of the Steklov Institute of Mathematics 1 Logic and Analysis 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Topology and Analysis 1 Science China. Mathematics 1 Annals of Finance 1 Quantum Studies: Mathematics and Foundations 1 Special Matrices 1 Sahand Communications in Mathematical Analysis all top 5 Cited in 36 Fields 152 Mathematical logic and foundations (03-XX) 30 Real functions (26-XX) 22 History and biography (01-XX) 16 Measure and integration (28-XX) 13 General and overarching topics; collections (00-XX) 10 General topology (54-XX) 8 Combinatorics (05-XX) 7 Probability theory and stochastic processes (60-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 6 Functional analysis (46-XX) 6 Computer science (68-XX) 5 Group theory and generalizations (20-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Number theory (11-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Ordinary differential equations (34-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Operations research, mathematical programming (90-XX) 3 Systems theory; control (93-XX) 2 Field theory and polynomials (12-XX) 2 Sequences, series, summability (40-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Numerical analysis (65-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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