Edit Profile Kanovei, Vladimir G. Compute Distance To: Compute Author ID: kanovei.vladimir-g Published as: Kanovei, V.; Kanovei, V. G.; Kanovei, Vladimir; Kanovei, Vladimir G.; Kanovej, V.; Kanovej, V. G.; Kanoveĭ, V. G.; Kanoveǐ, V. G. External Links: Math-Net.Ru · Wikidata · ORCID Documents Indexed: 152 Publications since 1973, including 4 Books all top 5 Co-Authors 59 single-authored 26 Reeken, Michael 20 Katz, Mikhail G. 20 Lyubetsky, Vassily A. 12 Lyubetskij, V. A. 11 Sherry, David M. 10 Błaszczyk, Piotr 10 Katz, Karin Usadi 7 Uspenskiĭ, Vladimir Andreevich 6 Kutateladze, Semën Samsonovich 5 Nowik, Tahl 4 McGaffey, Thomas 4 Mormann, Thomas 4 Schaps, David M. 3 Bair, Jacques 3 Bascelli, Tiziana 3 Kudryk, Taras S. 2 Borovik, Alexandre Vasilievich 2 Bottazzi, Emanuele 2 Ely, Robert 2 Friedman, Sy-David 2 Grishin, V. N. 2 Henry, Valérie 2 Herzberg, Frederik S. 2 Shnider, Steven 2 Zapletal, Jindřich 1 Bagaria, Joan 1 Christensen, J. R. P. 1 Durand, Bruno 1 Fletcher, Peter 1 Gitman, Victoria 1 Golshani, Mohammad 1 Heinig, Peter 1 Hrbáček, Karel 1 Linton, Tom 1 Lobry, Claude 1 Ostrovsky, Alexey Vladimirovich 1 Sabok, Marcin 1 Sanders, Sam 1 Schaps, Mary Elizabeth 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 Siberian Mathematical Journal 6 Soviet Mathematics. Doklady 5 Fundamenta Mathematicae 5 Real Analysis Exchange 5 Studia Logica 4 Matematicheskie Zametki 4 Annals of Pure and Applied Logic 4 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 4 Archive for Mathematical Logic 3 Moscow University Mathematics Bulletin 3 Topology and its Applications 3 Izvestiya: Mathematics 2 Uspekhi Matematicheskikh Nauk [N. S.] 2 Applied Mathematics and Computation 2 Mathematica Japonica 2 Mathematics of the USSR. Izvestiya 2 Sibirskiĭ Matematicheskiĭ Zhurnal 2 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 2 Notices of the American Mathematical Society 2 Matematychni Studiï 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 Monatshefte für Mathematik 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 Journal of Mathematical Logic 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 all top 5 Fields 135 Mathematical logic and foundations (03-XX) 16 History and biography (01-XX) 15 Real functions (26-XX) 12 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) 2 Game theory, economics, finance, and other social and behavioral sciences (91-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 84 Publications have been cited 359 times in 176 Documents Cited by ▼ Year ▼ Borel equivalence relations. Structure and classification. Zbl 1155.03035Kanovei, Vladimir G. 31 2008 Nonstandard analysis, axiomatically. Zbl 1058.03002Kanovei, V.; Reeken, Michael 28 2004 Canonical Ramsey theory on Polish spaces. Zbl 1278.03001Kanovei, Vladimir; Sabok, Marcin; Zapletal, Jindřich 19 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 16 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 13 2013 A definable nonstandard model of the reals. Zbl 1070.03044Kanovei, Vladimir; Shelah, Saharon 13 2004 Tools, objects, and chimeras: Connes on the role of hyperreals in mathematics. Zbl 1392.03012Kanovei, Vladimir; Katz, Mikhail G.; Mormann, Thomas 11 2013 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 10 2017 A countable definable set containing no definable elements. Zbl 1420.03130Kanovei, V. G.; Lyubetsky, V. A. 10 2017 A definable \(E_0\) class containing no definable elements. Zbl 1343.03040Kanovei, Vladimir; Lyubetsky, Vassily 10 2015 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 8 1997 Undecidable hypotheses in Edward Nelson’s internal set theory. Zbl 0782.03028Kanovej, V. G. 8 1991 On non-wellfounded iterations of the perfect set forcing. Zbl 0930.03062Kanovei, Vladimir 7 1999 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 When a partial Borel order is linearizable. Zbl 0909.03041Kanovei, Vladimir 6 1998 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 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 5 2017 An effective minimal encoding of uncountable sets. Zbl 1252.03113Kanovei, V. G.; Lyubetsky, V. A. 5 2011 Non-Glimm-Effros equivalence relations at second projective level. Zbl 0883.03034Kanovei, Vladimir 5 1997 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 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 Counterexamples to countable-section \(\varPi_2^1\) uniformization and \(\varPi_3^1\) separation. Zbl 1403.03086Kanovei, Vladimir; Lyubetsky, Vassily 4 2016 Proofs and retributions, or: why Sarah can’t take limits. Zbl 1368.00021Kanovei, Vladimir; Katz, Karin U.; Katz, Mikhail G.; Schaps, Mary 4 2015 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 Mathematics in a nonstandard world. I. Zbl 0887.03044Kanovei, Vladimir; Reeken, Michael 4 1997 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 3 2018 Controversies in the foundations of analysis: comments on Schubring’s Conflicts. Zbl 1368.01021Błaszczyk, Piotr; Kanovei, Vladimir; Katz, Mikhail G.; Sherry, David 3 2017 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 coding uncountable sets by reals. Zbl 1200.03032Bagaria, Joan; Kanovei, Vladimir 3 2010 Some new results on the Borel irreducibility of equivalence relations. Zbl 1068.03036Kanovej, V. G.; Reeken, M. 3 2003 A theorem on ROD-hypersmooth equivalence relations in the Solovay model. Zbl 1026.03033Kanovei, Vladimir; Reeken, Michael 3 2003 On Baire measurable homomorphisms of quotients of the additive group of the reals. Zbl 0972.03045Kanovei, Vladimir; Reeken, Michael 3 2000 Linearization of definable order relations. Zbl 0942.03055Kanovei, Vladimir 3 2000 Two dichotomy theorems on colourability of non-analytic graphs. Zbl 0883.03035Kanovei, Vladimir 3 1997 Topologies generated by effectively Suslin sets, and their applications in descriptive set theory. Zbl 0878.54022Kanovei, V. G. 3 1996 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 Minimal axiomatic frameworks for definable hyperreals with transfer. Zbl 1447.03014Herzberg, Frederik S.; Kanovei, Vladimir; Katz, Mikhail; Lyubetsky, Vassily 2 2018 Countable OD sets of reals belong to the ground model. Zbl 06860714Kanovei, Vladimir; Lyubetsky, Vassily 2 2018 Cauchy, infinitesimals and ghosts of departed quantifiers. Zbl 07053796Bair, 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. 2 2017 A positive function with vanishing Lebesgue integral in Zermelo-Fraenkel set theory. Zbl 1423.03180Kanovei, Vladimir; Katz, Mikhail 2 2017 A generic property of the Solovay set \(\Sigma\). Zbl 1420.03133Kanovei, V. G.; Lyubetsky, V. A. 2 2017 Generalization of one construction by Solovay. Zbl 1347.03090Kanovei, V. G.; Lyubetsky, V. A. 2 2015 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 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 A cofinal family of equivalence relations and Borel ideals generating them. Zbl 1351.37015Kanovei, V. G.; Lyubetsky, V. A. 2 2006 A nonstandard set theory in the \(\in\)-language. Zbl 1002.03044Kanovei, Vladimir; Reeken, Michael 2 2000 Extending standard models of ZFC to models of nonstandard set theories. Zbl 0969.03072Kanovei, Vladimir; Reeken, Michael 2 2000 Ulm classification of analytic equivalence relations in generic universes. Zbl 0921.03048Kanovei, Vladimir 2 1998 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 set of all analytically definable sets of natural numbers can be defined analytically. Zbl 0452.03041Kanovej, V. G. 2 1980 On the nonemptiness of classes in axiomatic set theory. Zbl 0427.03044Kanovej, V. G. 2 1978 Über das Nichtleersein von Klassen in der axiomatischen Mengentheorie. Zbl 0409.03031Kanovei, V. G. 2 1978 On mathematical realism and applicability of hyperreals. Zbl 1436.00032Bottazzi, E.; Kanovei, V.; Katz, M.; Mormann, T.; Sherry, D. 1 2019 Non-uniformizable sets with countable cross-sections on a given level of the projective hierarchy. Zbl 07053973Kanovei, Vladimir; Lyubetsky, Vassily 1 2019 Borel OD sets of reals are OD-Borel in some simple models. Zbl 06998158Kanovei, Vladimir; Lyubetsky, Vassily 1 2019 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. 1 2018 Definable \(\mathsf{E}_0\) classes at arbitrary projective levels. Zbl 1426.03028Kanovei, Vladimir; Lyubetsky, Vassily 1 2018 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 On countable cofinality and decomposition of definable thin orderings. Zbl 1432.03089Kanovei, Vladimir; Lyubetsky, Vassily 1 2016 Effective compactness and sigma-compactness. Zbl 1286.03144Kanovei, V. G.; Lyubetsky, V. A. 1 2012 Some natural equivalence relations in the Solovay model. Zbl 1204.03048Friedman, Sy-David; Kanovei, Vladimir 1 2008 Borel and countably determined reducibility in nonstandard domain. Zbl 1084.03051Kanovei, Vladimir; Reeken, Michael 1 2003 On Ulam stability of the real line. Zbl 0994.03040Kanovei, Vladimir; Reeken, Michael 1 2001 On Borel orderable groups. Zbl 0968.03054Christensen, J. R. P.; Kanovei, Vladimir; Reeken, Michael 1 2001 On Ulam’s problem of stability of non-exact homomorphisms. Zbl 0995.03036Kanovej, V.; Reeken, M. 1 2000 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 “star” schemata of Kossak and Paris. Zbl 0917.03019Kanovei, Vladimir 1 1998 Mathematics in a nonstandard world. II. Zbl 0894.03037Kanovei, Vladimir; Reeken, Michael 1 1997 Isomorphism property in nonstandard extensions of the \(\mathbf Z\mathbf F\mathbf C\) universe. Zbl 0883.03040Kanovei, Vladimir; Reeken, Michael 1 1997 On external Scott algebras in nonstandard models of Peano arithmetic. Zbl 0859.03034Kanovei, Vladimir 1 1996 Summation of divergent series from the nonstandard point of view. Zbl 0879.03024Kanovei, V.; Reeken, M. 1 1995 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 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 On initial segments of degrees of constructibility. Zbl 0344.02046Kanovei, V. G. 1 1975 On mathematical realism and applicability of hyperreals. Zbl 1436.00032Bottazzi, E.; Kanovei, V.; Katz, M.; Mormann, T.; Sherry, D. 1 2019 Non-uniformizable sets with countable cross-sections on a given level of the projective hierarchy. Zbl 07053973Kanovei, Vladimir; Lyubetsky, Vassily 1 2019 Borel OD sets of reals are OD-Borel in some simple models. Zbl 06998158Kanovei, Vladimir; Lyubetsky, Vassily 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 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 3 2018 Minimal axiomatic frameworks for definable hyperreals with transfer. Zbl 1447.03014Herzberg, Frederik S.; Kanovei, Vladimir; Katz, Mikhail; Lyubetsky, Vassily 2 2018 Countable OD sets of reals belong to the ground model. Zbl 06860714Kanovei, Vladimir; Lyubetsky, Vassily 2 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. 1 2018 Definable \(\mathsf{E}_0\) classes at arbitrary projective levels. Zbl 1426.03028Kanovei, Vladimir; Lyubetsky, Vassily 1 2018 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 10 2017 A countable definable set containing no definable elements. Zbl 1420.03130Kanovei, V. G.; Lyubetsky, V. A. 10 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 5 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 Cauchy, infinitesimals and ghosts of departed quantifiers. Zbl 07053796Bair, 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. 2 2017 A positive function with vanishing Lebesgue integral in Zermelo-Fraenkel set theory. Zbl 1423.03180Kanovei, Vladimir; Katz, Mikhail 2 2017 A generic property of the Solovay set \(\Sigma\). Zbl 1420.03133Kanovei, V. G.; Lyubetsky, V. A. 2 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 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 Counterexamples to countable-section \(\varPi_2^1\) uniformization and \(\varPi_3^1\) separation. Zbl 1403.03086Kanovei, Vladimir; Lyubetsky, Vassily 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 10 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. 2 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 16 2014 Canonical Ramsey theory on Polish spaces. Zbl 1278.03001Kanovei, Vladimir; Sabok, Marcin; Zapletal, Jindřich 19 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 13 2013 Tools, objects, and chimeras: Connes on the role of hyperreals in mathematics. Zbl 1392.03012Kanovei, Vladimir; Katz, Mikhail G.; Mormann, Thomas 11 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. 31 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 28 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. 3 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 On Ulam stability of the real line. Zbl 0994.03040Kanovei, Vladimir; Reeken, Michael 1 2001 On Borel orderable groups. Zbl 0968.03054Christensen, J. R. P.; Kanovei, Vladimir; Reeken, Michael 1 2001 New Radon-Nikodym ideals. Zbl 1025.03045Kanovei, Vladimir; Reeken, Michael 4 2000 On Baire measurable homomorphisms of quotients of the additive group of the reals. Zbl 0972.03045Kanovei, Vladimir; Reeken, Michael 3 2000 Linearization of definable order relations. Zbl 0942.03055Kanovei, Vladimir 3 2000 A nonstandard set theory in the \(\in\)-language. Zbl 1002.03044Kanovei, Vladimir; Reeken, Michael 2 2000 Extending standard models of ZFC to models of nonstandard set theories. Zbl 0969.03072Kanovei, 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 7 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 Elementary extensions of external classes in a nonstandard universe. Zbl 0956.03054Kanovei, Vladimir; Reeken, Michael 1 1998 On “star” schemata of Kossak and Paris. Zbl 0917.03019Kanovei, Vladimir 1 1998 An Ulm-type classification theorem for equivalence relations in Solovay model. Zbl 0895.03020Kanovei, Vladimir 8 1997 Non-Glimm-Effros equivalence relations at second projective level. Zbl 0883.03034Kanovei, Vladimir 5 1997 Mathematics in a nonstandard world. I. Zbl 0887.03044Kanovei, Vladimir; Reeken, Michael 4 1997 Two dichotomy theorems on colourability of non-analytic graphs. Zbl 0883.03035Kanovei, Vladimir 3 1997 Mathematics in a nonstandard world. II. Zbl 0894.03037Kanovei, Vladimir; Reeken, Michael 1 1997 Isomorphism property in nonstandard extensions of the \(\mathbf Z\mathbf F\mathbf C\) universe. Zbl 0883.03040Kanovei, Vladimir; Reeken, Michael 1 1997 Topologies generated by effectively Suslin sets, and their applications in descriptive set theory. Zbl 0878.54022Kanovei, V. G. 3 1996 Internal approach to external sets and universes. III. Partially saturated universes. Zbl 0855.03043Kanovei, Vladimir; Reeken, Michael 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 Summation of divergent series from the nonstandard point of view. Zbl 0879.03024Kanovei, V.; Reeken, M. 1 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 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 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. 2 1980 On the nonemptiness of classes in axiomatic set theory. Zbl 0427.03044Kanovej, V. G. 2 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 141 Authors 61 Kanovei, Vladimir G. 21 Katz, Mikhail G. 20 Lyubetsky, Vassily A. 10 Reeken, Michael 9 Katz, Karin Usadi 9 Sherry, David M. 8 Błaszczyk, Piotr 8 Herzberg, Frederik S. 8 Kutateladze, Semën Samsonovich 8 Lyubetskij, V. A. 8 Sanders, Sam 6 Van den Berg, Imme Pieter 6 Zapletal, Jindřich 4 Ding, Longyun 4 Kudryk, Taras S. 4 Nowik, Tahl 4 Shelah, Saharon 4 Thomas, Simon R. 3 Borovik, Alexandre Vasilievich 3 Friedman, Sy-David 3 Mormann, Thomas 3 Sabok, Marcin 3 Tran, Nam-Van 2 Andreev, P. V. 2 Bair, Jacques 2 Bascelli, Tiziana 2 Bottazzi, Emanuele 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 Hrbáček, Karel 2 Impens, Chris 2 Larson, Paul B. 2 McGaffey, Thomas 2 Miller, Benjamin David 2 Schaps, David M. 2 Trlifajová, Kateřina 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 Bianchini, Stefano 1 Brendle, Jörg 1 Calderoni, Filippo 1 Caravenna, Laura 1 Chan, William C. Y. 1 Chan, William M. 1 Christensen, J. R. P. 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 Enayat, Ali 1 Finkel, Olivier 1 Fokina, Ekaterina B. 1 Gamboa, Ruben A. 1 Gitman, Victoria 1 Glebskij, L. Yu. 1 Gogacz, Tomasz 1 Golshani, Mohammad 1 Gorelov, Mikhail Aleksandrovich 1 Grebík, Jan 1 Gu, Kai 1 Gutman, Aleksandr Efimovich 1 Heinig, Peter 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 1 Kaye, Richard W. 1 Kellner, Jakob 1 Kerner, Dmitry 1 Kholyavka, Yaroslav M. 1 Kononenko, A. F. 1 Kusraev, Anatoly Georgievich 1 Kwela, Adam 1 Lenzi, Giacomo 1 Liokumovich, Yevgeny 1 Marks, Andrew S. ...and 41 more Authors all top 5 Cited in 64 Serials 19 The Journal of Symbolic Logic 14 Annals of Pure and Applied Logic 10 Mathematical Notes 10 Foundations of Science 9 Mathematical Logic Quarterly (MLQ) 8 Archive for Mathematical Logic 5 Proceedings of the American Mathematical Society 5 Siberian Mathematical Journal 5 Transactions of the American Mathematical Society 5 Journal of Mathematical Logic 4 Topology and its Applications 4 The Bulletin of Symbolic Logic 3 The Mathematical Intelligencer 3 Notre Dame Journal of Formal Logic 3 Studia Logica 3 Indagationes Mathematicae. New Series 2 Archive for History of Exact Sciences 2 Israel Journal of Mathematics 2 Applied Mathematics and Computation 2 Fundamenta Mathematicae 2 Kybernetes 2 Optimization 2 Journal of Mathematical Sciences (New York) 2 Bulletin des Sciences Mathématiques 2 Matematychni Studiï 2 Erkenntnis 2 Logica Universalis 2 Journal of Applied and Industrial Mathematics 2 The Review of Symbolic Logic 2 Open Mathematics 1 Journal of Mathematical Analysis and Applications 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Mathematica Vietnamica 1 Commentationes Mathematicae Universitatis Carolinae 1 Mathematische Annalen 1 Mathematika 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 Synthese 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 Stochastic Processes and their Applications 1 Izvestiya: Mathematics 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 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 1 British Journal for the History of Mathematics all top 5 Cited in 33 Fields 136 Mathematical logic and foundations (03-XX) 24 Real functions (26-XX) 20 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 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Combinatorics (05-XX) 7 Probability theory and stochastic processes (60-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 6 Computer science (68-XX) 5 Group theory and generalizations (20-XX) 4 Number theory (11-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Functional analysis (46-XX) 3 Linear and multilinear algebra; matrix theory (15-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 Ordinary differential equations (34-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 Field theory and polynomials (12-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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