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Kanovei, Vladimir G.

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Author ID: kanovei.vladimir-g Recent zbMATH articles by "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.
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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

Publications by Year

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 1155.03035
Kanovei, Vladimir G.
37
2008
Nonstandard analysis, axiomatically. Zbl 1058.03002
Kanovei, V.; Reeken, Michael
30
2004
Canonical Ramsey theory on Polish spaces. Zbl 1278.03001
Kanovei, Vladimir; Sabok, Marcin; Zapletal, Jindřich
23
2013
Fermat, Leibniz, Euler, and the gang: the true history of the concepts of limit and shadow. Zbl 1338.26001
Bascelli, 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 1334.01010
Bair, 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 1070.03044
Kanovei, Vladimir; Shelah, Saharon
13
2004
A countable definable set containing no definable elements. Zbl 1420.03130
Kanovei, V. G.; Lyubetsky, V. A.
13
2017
Approaches to analysis with infinitesimals following Robinson, Nelson, and others. Zbl 1435.03094
Fletcher, Peter; Hrbacek, Karel; Kanovei, Vladimir; Katz, Mikhail G.; Lobry, Claude; Sanders, Sam
13
2017
A definable \(E_0\) class containing no definable elements. Zbl 1343.03040
Kanovei, Vladimir; Lyubetsky, Vassily
12
2015
Tools, objects, and chimeras: Connes on the role of hyperreals in mathematics. Zbl 1392.03012
Kanovei, Vladimir; Katz, Mikhail G.; Mormann, Thomas
12
2013
On non-wellfounded iterations of the perfect set forcing. Zbl 0930.03062
Kanovei, Vladimir
10
1999
Internal approach to external sets and universes. I: Bounded set theory. Zbl 0837.03048
Kanovei, Vladimir; Reeken, Michael
9
1995
An Ulm-type classification theorem for equivalence relations in Solovay model. Zbl 0895.03020
Kanovei, Vladimir
9
1997
Undecidable hypotheses in Edward Nelson’s internal set theory. Zbl 0782.03028
Kanovej, V. G.
8
1991
Toward a history of mathematics focused on procedures. Zbl 1398.01005
Błaszczyk, 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 1403.03086
Kanovei, Vladimir; Lyubetsky, Vassily
7
2016
Euler’s lute and Edwards’s oud. Zbl 1342.01017
Kanovei, Vladimir; Katz, Karin U.; Katz, Mikhail G.; Sherry, David
6
2015
On some classical problems in descriptive set theory. Zbl 1064.03031
Kanovej, V. G.; Lyubetskij, V. A.
6
2003
Non-Glimm-Effros equivalence relations at second projective level. Zbl 0883.03034
Kanovei, Vladimir
6
1997
When a partial Borel order is linearizable. Zbl 0909.03041
Kanovei, Vladimir
6
1998
An effective minimal encoding of uncountable sets. Zbl 1252.03113
Kanovei, 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 0855.03042
Kanovei, Vladimir; Reeken, Michael
5
1995
Non-uniformizable sets with countable cross-sections on a given level of the projective hierarchy. Zbl 1472.03059
Kanovei, Vladimir; Lyubetsky, Vassily
5
2019
Gregory’s sixth operation. Zbl 1398.01052
Bascelli, 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 1365.01032
Błaszczyk, 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 1149.01022
Hausdorff, Felix
4
2008
Problems of set-theoretic non-standard analysis. Zbl 1226.03067
Kanoveĭ, V. G.; Lyubetskiĭ, V. A.
4
2007
New Radon-Nikodym ideals. Zbl 1025.03045
Kanovei, Vladimir; Reeken, Michael
4
2000
Some new results on the Borel irreducibility of equivalence relations. Zbl 1068.03036
Kanovej, V. G.; Reeken, M.
4
2003
Two dichotomy theorems on colourability of non-analytic graphs. Zbl 0883.03035
Kanovei, Vladimir
4
1997
On the nonemptiness of classes in axiomatic set theory. Zbl 0427.03044
Kanovej, V. G.
4
1978
On mathematical realism and applicability of hyperreals. Zbl 1436.00032
Bottazzi, E.; Kanovei, V.; Katz, M.; Mormann, T.; Sherry, D.
4
2019
Cauchy, infinitesimals and ghosts of departed quantifiers. Zbl 1476.01006
Bair, 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 1368.00021
Kanovei, Vladimir; Katz, Karin U.; Katz, Mikhail G.; Schaps, Mary
4
2015
Countable OD sets of reals belong to the ground model. Zbl 06860714
Kanovei, Vladimir; Lyubetsky, Vassily
4
2018
Non-uniformizable sets of second projective level with countable cross-sections in the form of Vitali classes. Zbl 1446.03081
Kanovei, Vladimir G.; Lyubetsky, Vassily A.
4
2018
Cauchy’s infinitesimals, his sum theorem, and foundational paradigms. Zbl 1398.01014
Bascelli, 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 1347.03090
Kanovei, V. G.; Lyubetsky, V. A.
3
2015
Internal approach to external sets and universes. III. Partially saturated universes. Zbl 0855.03043
Kanovei, Vladimir; Reeken, Michael
3
1996
Uniqueness, collection, and external collapse of cardinals in IST and models of Peano arithmetic. Zbl 0820.03034
Kanovei, V.
3
1995
On coding uncountable sets by reals. Zbl 1200.03032
Bagaria, Joan; Kanovei, Vladimir
3
2010
A theorem on ROD-hypersmooth equivalence relations in the Solovay model. Zbl 1026.03033
Kanovei, Vladimir; Reeken, Michael
3
2003
Linearization of definable order relations. Zbl 0942.03055
Kanovei, Vladimir
3
2000
On Baire measurable homomorphisms of quotients of the additive group of the reals. Zbl 0972.03045
Kanovei, Vladimir; Reeken, Michael
3
2000
Mathematics in a nonstandard world. I. Zbl 0887.03044
Kanovei, Vladimir; Reeken, Michael
3
1997
Topologies generated by effectively Suslin sets, and their applications in descriptive set theory. Zbl 0878.54022
Kanovei, V. G.
3
1996
The set of all analytically definable sets of natural numbers can be defined analytically. Zbl 0452.03041
Kanovej, V. G.
3
1980
A Groszek-Laver pair of undistinguishable \(\mathsf{E}_0\)-classes. Zbl 1437.03146
Golshani, Mohammad; Kanovei, Vladimir; Lyubetsky, Vassily
3
2017
A model of second-order arithmetic satisfying AC but not DC. Zbl 07077420
Friedman, Sy-David; Gitman, Victoria; Kanovei, Vladimir
3
2019
Continuity between Cauchy and Bolzano: issues of antecedents and priority. Zbl 1461.01010
Bair, 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 1404.70014
Kanovei, Vladimir; Katz, Karin U.; Katz, Mikhail G.; Nowik, Tahl
3
2016
Controversies in the foundations of analysis: comments on Schubring’s Conflicts. Zbl 1368.01021
Błaszczyk, Piotr; Kanovei, Vladimir; Katz, Mikhail G.; Sherry, David
3
2017
A generic property of the Solovay set \(\Sigma\). Zbl 1420.03133
Kanovei, V. G.; Lyubetsky, V. A.
3
2017
A positive function with vanishing Lebesgue integral in Zermelo-Fraenkel set theory. Zbl 1423.03180
Kanovei, Vladimir; Katz, Mikhail
3
2017
Definable \(\mathsf{E}_0\) classes at arbitrary projective levels. Zbl 1426.03028
Kanovei, Vladimir; Lyubetsky, Vassily
3
2018
Cardinality of the set of Vitali equivalence classes. Zbl 0742.03016
Kanovej, V. G.
2
1991
The correctness of Euler’s method for the factorization of the sine function into an infinite product. Zbl 0713.41013
Kanovej, V. G.
2
1988
Ulm classification of analytic equivalence relations in generic universes. Zbl 0921.03048
Kanovei, Vladimir
2
1998
On Hausdorff ordered structures. Zbl 1220.03045
Kanoveĭ, V. G.
2
2009
Lebesgue measure and gambling. Zbl 1171.28300
Kanoveǐ, V. G.; Linton, T.; Uspensky, V. A.
2
2008
Extending standard models of ZFC to models of nonstandard set theories. Zbl 0969.03072
Kanovei, Vladimir; Reeken, Michael
2
2000
A nonstandard set theory in the \(\in\)-language. Zbl 1002.03044
Kanovei, 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 1010.01031
Hausdorff, Felix
2
2002
Über das Nichtleersein von Klassen in der axiomatischen Mengentheorie. Zbl 0409.03031
Kanovei, V. G.
2
1978
Borel OD sets of reals are OD-Borel in some simple models. Zbl 06998158
Kanovei, Vladimir; Lyubetsky, Vassily
2
2019
A cofinal family of equivalence relations and Borel ideals generating them. Zbl 1351.37015
Kanovei, V. G.; Lyubetsky, V. A.
2
2006
On effective \(\sigma \)-boundedness and \(\sigma \)-compactness. Zbl 1283.03080
Kanovei, Vladimir; Lyubetsky, Vassily
2
2013
An infinity which depends on the axiom of choice. Zbl 1254.03086
Kanovei, Vladimir; Lyubetsky, Vassily
2
2012
Minimal axiomatic frameworks for definable hyperreals with transfer. Zbl 1447.03014
Herzberg, Frederik S.; Kanovei, Vladimir; Katz, Mikhail; Lyubetsky, Vassily
2
2018
Definable minimal collapse functions at arbitrary projective levels. Zbl 1453.03053
Kanovei, Vladimir; Lyubetsky, Vassily
2
2019
Undecidable and decidable properties of constituents. Zbl 0598.03041
Kanovej, V. G.
1
1985
The axiom of choice and the axiom of determinateness. (Aksioma vybora i aksioma determinirovannosti). Zbl 0599.03053
Kanovej, V. G.
1
1984
The axiom of determinacy and the modern development of descriptive set theory. Zbl 0636.03046
Kanovej, V. G.
1
1988
On countable cofinality and decomposition of definable thin orderings. Zbl 1432.03089
Kanovei, Vladimir; Lyubetsky, Vassily
1
2016
On “star” schemata of Kossak and Paris. Zbl 0917.03019
Kanovei, Vladimir
1
1998
On external Scott algebras in nonstandard models of Peano arithmetic. Zbl 0859.03034
Kanovei, Vladimir
1
1996
On Ulam stability of the real line. Zbl 0994.03040
Kanovei, Vladimir; Reeken, Michael
1
2001
On Ulam’s problem of stability of non-exact homomorphisms. Zbl 0995.03036
Kanovej, V.; Reeken, M.
1
2000
Development of descriptive set theory under the influence of N. N. Luzin’s memoirs. Zbl 0578.01022
Kanovej, V. G.
1
1985
Some natural equivalence relations in the Solovay model. Zbl 1204.03048
Friedman, Sy-David; Kanovei, Vladimir
1
2008
On initial segments of degrees of constructibility. Zbl 0344.02046
Kanovei, V. G.
1
1975
Borel and countably determined reducibility in nonstandard domain. Zbl 1084.03051
Kanovei, Vladimir; Reeken, Michael
1
2003
Kolmogorov’s ideas in the theory of operations on sets. Zbl 0671.04001
Kanovej, V. G.
1
1988
Extension of standard models of ZFC to models of Nelson’s nonstandard set theory IST. Zbl 0955.03070
Kanovei, V. G.; Reeken, M.
1
1999
Elementary extensions of external classes in a nonstandard universe. Zbl 0956.03054
Kanovei, Vladimir; Reeken, Michael
1
1998
On Borel orderable groups. Zbl 0968.03054
Christensen, J. P. R.; Kanovei, Vladimir; Reeken, Michael
1
2001
Problem of the existence of nonborel \(AF_{\|}\)-sets. Zbl 0586.03039
Kanovej, V. G.
1
1985
Isomorphism property in nonstandard extensions of the \(\mathbf Z\mathbf F\mathbf C\) universe. Zbl 0883.03040
Kanovei, Vladimir; Reeken, Michael
1
1997
Mathematics in a nonstandard world. II. Zbl 0894.03037
Kanovei, Vladimir; Reeken, Michael
1
1997
Effective compactness and sigma-compactness. Zbl 1286.03144
Kanovei, V. G.; Lyubetsky, V. A.
1
2012
Is Leibnizian calculus embeddable in first order logic? Zbl 1398.03223
Błaszczyk, Piotr; Kanovei, Vladimir; Katz, Karin U.; Katz, Mikhail G.; Kudryk, Taras; Mormann, Thomas; Sherry, David
1
2017
Definable elements of definable Borel sets. Zbl 07128207
Kanovei, V. G.; Lyubetsky, V. A.
1
2019
An unpublished theorem of Solovay on OD partitions of reals into two non-OD parts, revisited. Zbl 07419664
Enayat, Ali; Kanovei, Vladimir
1
2021
An unpublished theorem of Solovay on OD partitions of reals into two non-OD parts, revisited. Zbl 07419664
Enayat, Ali; Kanovei, Vladimir
1
2021
Continuity between Cauchy and Bolzano: issues of antecedents and priority. Zbl 1461.01010
Bair, 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 1472.03059
Kanovei, Vladimir; Lyubetsky, Vassily
5
2019
On mathematical realism and applicability of hyperreals. Zbl 1436.00032
Bottazzi, E.; Kanovei, V.; Katz, M.; Mormann, T.; Sherry, D.
4
2019
A model of second-order arithmetic satisfying AC but not DC. Zbl 07077420
Friedman, Sy-David; Gitman, Victoria; Kanovei, Vladimir
3
2019
Borel OD sets of reals are OD-Borel in some simple models. Zbl 06998158
Kanovei, Vladimir; Lyubetsky, Vassily
2
2019
Definable minimal collapse functions at arbitrary projective levels. Zbl 1453.03053
Kanovei, Vladimir; Lyubetsky, Vassily
2
2019
Definable elements of definable Borel sets. Zbl 07128207
Kanovei, V. G.; Lyubetsky, V. A.
1
2019
Gregory’s sixth operation. Zbl 1398.01052
Bascelli, 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 06860714
Kanovei, Vladimir; Lyubetsky, Vassily
4
2018
Non-uniformizable sets of second projective level with countable cross-sections in the form of Vitali classes. Zbl 1446.03081
Kanovei, Vladimir G.; Lyubetsky, Vassily A.
4
2018
Cauchy’s infinitesimals, his sum theorem, and foundational paradigms. Zbl 1398.01014
Bascelli, 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 1426.03028
Kanovei, Vladimir; Lyubetsky, Vassily
3
2018
Minimal axiomatic frameworks for definable hyperreals with transfer. Zbl 1447.03014
Herzberg, Frederik S.; Kanovei, Vladimir; Katz, Mikhail; Lyubetsky, Vassily
2
2018
A countable definable set containing no definable elements. Zbl 1420.03130
Kanovei, V. G.; Lyubetsky, V. A.
13
2017
Approaches to analysis with infinitesimals following Robinson, Nelson, and others. Zbl 1435.03094
Fletcher, Peter; Hrbacek, Karel; Kanovei, Vladimir; Katz, Mikhail G.; Lobry, Claude; Sanders, Sam
13
2017
Toward a history of mathematics focused on procedures. Zbl 1398.01005
Błaszczyk, Piotr; Kanovei, Vladimir; Katz, Karin U.; Katz, Mikhail G.; Kutateladze, Semen S.; Sherry, David
8
2017
Cauchy, infinitesimals and ghosts of departed quantifiers. Zbl 1476.01006
Bair, 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 1437.03146
Golshani, Mohammad; Kanovei, Vladimir; Lyubetsky, Vassily
3
2017
Controversies in the foundations of analysis: comments on Schubring’s Conflicts. Zbl 1368.01021
Błaszczyk, Piotr; Kanovei, Vladimir; Katz, Mikhail G.; Sherry, David
3
2017
A generic property of the Solovay set \(\Sigma\). Zbl 1420.03133
Kanovei, V. G.; Lyubetsky, V. A.
3
2017
A positive function with vanishing Lebesgue integral in Zermelo-Fraenkel set theory. Zbl 1423.03180
Kanovei, Vladimir; Katz, Mikhail
3
2017
Is Leibnizian calculus embeddable in first order logic? Zbl 1398.03223
Błaszczyk, 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 1403.03086
Kanovei, Vladimir; Lyubetsky, Vassily
7
2016
A non-standard analysis of a cultural icon: the case of Paul Halmos. Zbl 1365.01032
Błaszczyk, 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 1404.70014
Kanovei, Vladimir; Katz, Karin U.; Katz, Mikhail G.; Nowik, Tahl
3
2016
On countable cofinality and decomposition of definable thin orderings. Zbl 1432.03089
Kanovei, Vladimir; Lyubetsky, Vassily
1
2016
A definable \(E_0\) class containing no definable elements. Zbl 1343.03040
Kanovei, Vladimir; Lyubetsky, Vassily
12
2015
Euler’s lute and Edwards’s oud. Zbl 1342.01017
Kanovei, Vladimir; Katz, Karin U.; Katz, Mikhail G.; Sherry, David
6
2015
Proofs and retributions, or: why Sarah can’t take limits. Zbl 1368.00021
Kanovei, Vladimir; Katz, Karin U.; Katz, Mikhail G.; Schaps, Mary
4
2015
Generalization of one construction by Solovay. Zbl 1347.03090
Kanovei, V. G.; Lyubetsky, V. A.
3
2015
Fermat, Leibniz, Euler, and the gang: the true history of the concepts of limit and shadow. Zbl 1338.26001
Bascelli, 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 1278.03001
Kanovei, Vladimir; Sabok, Marcin; Zapletal, Jindřich
23
2013
Is mathematical history written by the victors? Zbl 1334.01010
Bair, 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 1392.03012
Kanovei, Vladimir; Katz, Mikhail G.; Mormann, Thomas
12
2013
On effective \(\sigma \)-boundedness and \(\sigma \)-compactness. Zbl 1283.03080
Kanovei, Vladimir; Lyubetsky, Vassily
2
2013
An infinity which depends on the axiom of choice. Zbl 1254.03086
Kanovei, Vladimir; Lyubetsky, Vassily
2
2012
Effective compactness and sigma-compactness. Zbl 1286.03144
Kanovei, V. G.; Lyubetsky, V. A.
1
2012
An effective minimal encoding of uncountable sets. Zbl 1252.03113
Kanovei, V. G.; Lyubetsky, V. A.
5
2011
On coding uncountable sets by reals. Zbl 1200.03032
Bagaria, Joan; Kanovei, Vladimir
3
2010
On Hausdorff ordered structures. Zbl 1220.03045
Kanoveĭ, V. G.
2
2009
Borel equivalence relations. Structure and classification. Zbl 1155.03035
Kanovei, 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 1149.01022
Hausdorff, Felix
4
2008
Lebesgue measure and gambling. Zbl 1171.28300
Kanoveǐ, V. G.; Linton, T.; Uspensky, V. A.
2
2008
Some natural equivalence relations in the Solovay model. Zbl 1204.03048
Friedman, Sy-David; Kanovei, Vladimir
1
2008
Problems of set-theoretic non-standard analysis. Zbl 1226.03067
Kanoveĭ, V. G.; Lyubetskiĭ, V. A.
4
2007
A cofinal family of equivalence relations and Borel ideals generating them. Zbl 1351.37015
Kanovei, V. G.; Lyubetsky, V. A.
2
2006
Nonstandard analysis, axiomatically. Zbl 1058.03002
Kanovei, V.; Reeken, Michael
30
2004
A definable nonstandard model of the reals. Zbl 1070.03044
Kanovei, Vladimir; Shelah, Saharon
13
2004
On some classical problems in descriptive set theory. Zbl 1064.03031
Kanovej, V. G.; Lyubetskij, V. A.
6
2003
Some new results on the Borel irreducibility of equivalence relations. Zbl 1068.03036
Kanovej, V. G.; Reeken, M.
4
2003
A theorem on ROD-hypersmooth equivalence relations in the Solovay model. Zbl 1026.03033
Kanovei, Vladimir; Reeken, Michael
3
2003
Borel and countably determined reducibility in nonstandard domain. Zbl 1084.03051
Kanovei, 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 1010.01031
Hausdorff, Felix
2
2002
On Ulam stability of the real line. Zbl 0994.03040
Kanovei, Vladimir; Reeken, Michael
1
2001
On Borel orderable groups. Zbl 0968.03054
Christensen, J. P. R.; Kanovei, Vladimir; Reeken, Michael
1
2001
New Radon-Nikodym ideals. Zbl 1025.03045
Kanovei, Vladimir; Reeken, Michael
4
2000
Linearization of definable order relations. Zbl 0942.03055
Kanovei, Vladimir
3
2000
On Baire measurable homomorphisms of quotients of the additive group of the reals. Zbl 0972.03045
Kanovei, Vladimir; Reeken, Michael
3
2000
Extending standard models of ZFC to models of nonstandard set theories. Zbl 0969.03072
Kanovei, Vladimir; Reeken, Michael
2
2000
A nonstandard set theory in the \(\in\)-language. Zbl 1002.03044
Kanovei, Vladimir; Reeken, Michael
2
2000
On Ulam’s problem of stability of non-exact homomorphisms. Zbl 0995.03036
Kanovej, V.; Reeken, M.
1
2000
On non-wellfounded iterations of the perfect set forcing. Zbl 0930.03062
Kanovei, Vladimir
10
1999
Extension of standard models of ZFC to models of Nelson’s nonstandard set theory IST. Zbl 0955.03070
Kanovei, V. G.; Reeken, M.
1
1999
When a partial Borel order is linearizable. Zbl 0909.03041
Kanovei, Vladimir
6
1998
Ulm classification of analytic equivalence relations in generic universes. Zbl 0921.03048
Kanovei, Vladimir
2
1998
On “star” schemata of Kossak and Paris. Zbl 0917.03019
Kanovei, Vladimir
1
1998
Elementary extensions of external classes in a nonstandard universe. Zbl 0956.03054
Kanovei, Vladimir; Reeken, Michael
1
1998
An Ulm-type classification theorem for equivalence relations in Solovay model. Zbl 0895.03020
Kanovei, Vladimir
9
1997
Non-Glimm-Effros equivalence relations at second projective level. Zbl 0883.03034
Kanovei, Vladimir
6
1997
Two dichotomy theorems on colourability of non-analytic graphs. Zbl 0883.03035
Kanovei, Vladimir
4
1997
Mathematics in a nonstandard world. I. Zbl 0887.03044
Kanovei, Vladimir; Reeken, Michael
3
1997
Isomorphism property in nonstandard extensions of the \(\mathbf Z\mathbf F\mathbf C\) universe. Zbl 0883.03040
Kanovei, Vladimir; Reeken, Michael
1
1997
Mathematics in a nonstandard world. II. Zbl 0894.03037
Kanovei, Vladimir; Reeken, Michael
1
1997
Internal approach to external sets and universes. III. Partially saturated universes. Zbl 0855.03043
Kanovei, Vladimir; Reeken, Michael
3
1996
Topologies generated by effectively Suslin sets, and their applications in descriptive set theory. Zbl 0878.54022
Kanovei, V. G.
3
1996
On external Scott algebras in nonstandard models of Peano arithmetic. Zbl 0859.03034
Kanovei, Vladimir
1
1996
Internal approach to external sets and universes. I: Bounded set theory. Zbl 0837.03048
Kanovei, Vladimir; Reeken, Michael
9
1995
Internal approach to external sets and universes. II: External universes over the universe of bounded set theory. Zbl 0855.03042
Kanovei, Vladimir; Reeken, Michael
5
1995
Uniqueness, collection, and external collapse of cardinals in IST and models of Peano arithmetic. Zbl 0820.03034
Kanovei, V.
3
1995
Undecidable hypotheses in Edward Nelson’s internal set theory. Zbl 0782.03028
Kanovej, V. G.
8
1991
Cardinality of the set of Vitali equivalence classes. Zbl 0742.03016
Kanovej, V. G.
2
1991
The correctness of Euler’s method for the factorization of the sine function into an infinite product. Zbl 0713.41013
Kanovej, V. G.
2
1988
The axiom of determinacy and the modern development of descriptive set theory. Zbl 0636.03046
Kanovej, V. G.
1
1988
Kolmogorov’s ideas in the theory of operations on sets. Zbl 0671.04001
Kanovej, V. G.
1
1988
Undecidable and decidable properties of constituents. Zbl 0598.03041
Kanovej, V. G.
1
1985
Development of descriptive set theory under the influence of N. N. Luzin’s memoirs. Zbl 0578.01022
Kanovej, V. G.
1
1985
Problem of the existence of nonborel \(AF_{\|}\)-sets. Zbl 0586.03039
Kanovej, V. G.
1
1985
The axiom of choice and the axiom of determinateness. (Aksioma vybora i aksioma determinirovannosti). Zbl 0599.03053
Kanovej, V. G.
1
1984
The set of all analytically definable sets of natural numbers can be defined analytically. Zbl 0452.03041
Kanovej, V. G.
3
1980
On the nonemptiness of classes in axiomatic set theory. Zbl 0427.03044
Kanovej, V. G.
4
1978
Über das Nichtleersein von Klassen in der axiomatischen Mengentheorie. Zbl 0409.03031
Kanovei, V. G.
2
1978
On initial segments of degrees of constructibility. Zbl 0344.02046
Kanovei, V. G.
1
1975
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

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