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## Pestov, Vladimir G.

Compute Distance To:
 Author ID: pestov.vladimir-g Published as: Pestov, V.; Pestov, V. G.; Pestov, Vladimir; Pestov, Vladimir G. External Links: MGP
 Documents Indexed: 124 Publications since 1982, including 4 Books Reviewing Activity: 140 Reviews
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#### Co-Authors

 79 single-authored 8 Morris, Sidney A. 6 Bruzzo, Ugo 5 Leiderman, Arkady G. 4 Bartocci, Claudio 4 Hernández Ruipérez, Daniel 4 Nickolas, Peter 4 Uspenskiĭ, Vladimir Vladimirovich 3 Mbombo, Brice R. 3 Shakhmatov, Dmitri B. 2 Giordano, Thierry 2 Kechris, Alexander S. 2 Levin, M. D. 2 Megrelishvili, Michael G. 2 Okromeshko, N. G. 2 Todorcevic, Stevo B. 1 Al-Gadid, Yousef 1 Arkhangel’skiĭ, Aleksandr Vladimirovich 1 Barroso, Cleon S. 1 Cardoso Gonçalves, Maria Inez 1 Collins, Benoît 1 Gao, Su 1 Hegland, Markus 1 Hofmann, Karl Heinrich 1 Kopperman, Ralph D. 1 Kumari, Sushma 1 Kwiatkowska, Aleksandra 1 Ludwig, Monika 1 Milman, Vitali D. 1 Mislove, Michael W. 1 Nguyen Van Thé, Lionel 1 Okunev, Oleg G. 1 Rubin, Matatyahu 1 Schneider, Friedrich Martin 1 Solecki, Sławomir 1 Stojmirović, Aleksandar 1 Svetlichny, Sergey A. 1 Tomczak-Jaegermann, Nicole 1 Tomita, Artur Hideyuki 1 Yamada, Kohzo
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#### Serials

 8 Bulletin of the Australian Mathematical Society 8 Topology and its Applications 5 Moscow University Mathematics Bulletin 5 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 4 Soviet Mathematics. Doklady 3 Israel Journal of Mathematics 3 Journal of Mathematical Physics 3 Mathematical Notes 2 Houston Journal of Mathematics 2 Matematicheskie Zametki 2 Ukrainian Mathematical Journal 2 Journal of Geometry and Physics 2 Colloquium Mathematicum 2 Fundamenta Mathematicae 2 Journal of Functional Analysis 2 Pacific Journal of Mathematics 2 Transactions of the American Mathematical Society 2 Comptes Rendus Mathématiques de l’Académie des Sciences 2 Geometric and Functional Analysis. GAFA 2 Comptes Rendus de l’Académie des Sciences. Série I 2 New Zealand Journal of Mathematics 2 Journal of Group Theory 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Topologicheskie Prostranstva i Ikh Otobrazheniya 1 Classical and Quantum Gravity 1 Computers & Mathematics with Applications 1 Information Processing Letters 1 Letters in Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Reports on Mathematical Physics 1 Russian Mathematical Surveys 1 Ukraïns’kyĭ Matematychnyĭ Zhurnal 1 Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques 1 Advances in Mathematics 1 Anais da Academia Brasileira de Ciências 1 Functional Analysis and its Applications 1 Journal of the London Mathematical Society. Second Series 1 Proceedings of the American Mathematical Society 1 Quaestiones Mathematicae 1 Siberian Mathematical Journal 1 Soobshcheniya Akademii Nauk Gruzinskoĭ SSR 1 Theoretical Computer Science 1 Soviet Mathematics 1 Note di Matematica 1 Algorithmica 1 Journal of the Ramanujan Mathematical Society 1 Neural Networks 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Differential Geometry and its Applications 1 L’Enseignement Mathématique. 2e Série 1 Linear Algebra and its Applications 1 Topology Proceedings 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Journal of Lie Theory 1 Nova Journal of Algebra and Geometry 1 The Bulletin of Symbolic Logic 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Fundamenta Informaticae 1 The ANZIAM Journal 1 Journal of the Institute of Mathematics of Jussieu 1 Journal of Discrete Algorithms 1 Fields Institute Communications 1 University Lecture Series 1 Publicações Matemáticas do IMPA
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#### Fields

 69 Topological groups, Lie groups (22-XX) 51 General topology (54-XX) 27 Functional analysis (46-XX) 24 Abstract harmonic analysis (43-XX) 20 Global analysis, analysis on manifolds (58-XX) 15 Nonassociative rings and algebras (17-XX) 10 Mathematical logic and foundations (03-XX) 10 Group theory and generalizations (20-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Computer science (68-XX) 6 Statistics (62-XX) 4 Combinatorics (05-XX) 4 Associative rings and algebras (16-XX) 4 Category theory; homological algebra (18-XX) 4 Real functions (26-XX) 4 Operator theory (47-XX) 3 Manifolds and cell complexes (57-XX) 3 Quantum theory (81-XX) 2 General and overarching topics; collections (00-XX) 2 Field theory and polynomials (12-XX) 2 Measure and integration (28-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Geometry (51-XX) 2 Differential geometry (53-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Functions of a complex variable (30-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX)

#### Citations contained in zbMATH Open

100 Publications have been cited 859 times in 552 Documents Cited by Year
Fraïssé limits, Ramsey theory, and topological dynamics of automorphism groups. Zbl 1084.54014
Kechris, A. S.; Pestov, V. G.; Todorcevic, S.
2005
Hyperlinear and sofic groups: a brief guide. Zbl 1206.20048
Pestov, Vladimir G.
2008
Dynamics of infinite-dimensional groups. The Ramsey-Dvoretzky-Milman phenomenon. Zbl 1123.37003
Pestov, Vladimir
2006
On free actions, minimal flows, and a problem by Ellis. Zbl 0911.54034
Pestov, Vladimir G.
1998
Some extremely amenable groups related to operator algebras and ergodic theory. Zbl 1133.22001
Giordano, Thierry; Pestov, Vladimir
2007
Free topological groups over metrizable spaces. Zbl 0689.54009
Arkhangel’skij, A. V.; Okunev, O. G.; Pestov, V. G.
1989
Ramsey-Milman phenomenon, Urysohn metric spaces, and extremely amenable groups. Zbl 1007.43001
Pestov, Vladimir
2002
Free Abelian topological groups and the Pontryagin-van Kampen duality. Zbl 0841.22001
Pestov, Vladimir
1995
On an axiomatic approach to supermanifolds. Zbl 0801.58001
Bartocci, C.; Bruzzo, U.; Pestov, V. G.; Hernández Ruipérez, D.
1991
The coincidence of the dimensions dim of l-equivalent topological spaces. Zbl 0518.54030
Pestov, V. G.
1982
Topological groups: Where to from here? Zbl 1026.22002
Pestov, Vladimir
1999
The free abelian topological group and the free locally convex space on the unit interval. Zbl 0907.22002
Leiderman, Arkady; Morris, Sidney A.; Pestov, Vladimir
1997
Some properties of free topological groups. Zbl 0499.22001
Pestov, V. G.
1982
Dynamics of infinite-dimensional groups and Ramsey-type phenomena. Paper from the 25th Brazilian mathematics colloquium – colóquio Brasileiro de matemática, Rio de Janeiro, Brazil, July 24–29, 2005. Zbl 1076.37005
Pestov, Vladimir
2005
On the geometry of similarity search: dimensionality curse and concentration of measure. Zbl 1339.68245
Pestov, Vladimir
2000
On Lie groups in varieties of topological groups. Zbl 0917.22003
Morris, Sidney A.; Pestov, Vladimir
1998
Some extremely amenable groups. Zbl 0995.43001
Giordano, Thierry; Pestov, Vladimir
2002
Foundations of supermanifold theory: The axiomatic approach. Zbl 0784.58008
Bartocci, C.; Bruzzo, U.; Hernández Ruipérez, D.; Pestov, V. G.
1993
The neighbourhoods of identity in free topological groups. Zbl 0576.22001
Pestov, V. G.
1985
The isometry group of the Urysohn space as a Lévy group. Zbl 1127.22001
Pestov, Vladimir
2007
A balance test for locally compact groups. Zbl 0663.22004
Pestov, V. G.
1988
Free Banach spaces and representations of topological groups. Zbl 0635.22005
Pestov, V. G.
1986
On some questions of Eymard and Bekka concerning amenability of homogeneous spaces and induced representations. Zbl 1092.43003
Pestov, Vladimir
2003
A theorem of Hrushovski-Solecki-Vershik applied to uniform and coarse embeddings of the Urysohn metric space. Zbl 1152.46062
Pestov, Vladimir G.
2008
On the structure of DeWitt supermanifolds. Zbl 0931.58005
Bruzzo, Ugo; Pestov, Vladimir
1999
Some universal constructions in abstract topological dynamics. Zbl 0891.54018
Pestov, V.
1998
Even sectors of Lie superalgebras as locally convex Lie algebras. Zbl 0693.17015
Pestov, Vladimir
1991
On topological groups admitting a base at the identity indexed by $$\omega ^{\omega}$$. Zbl 1382.22002
Leiderman, Arkady G.; Pestov, Vladimir G.; Tomita, Artur H.
2017
An axiomatic approach to intrinsic dimension of a dataset. Zbl 1254.68102
Pestov, Vladimir
2008
Amenable representations and dynamics of the unit sphere in an infinite-dimensional Hilbert space. Zbl 0976.43001
Pestov, V. G.
2000
On linear continuous open surjections of the spaces $$C_ p(X)$$. Zbl 0888.54020
Leiderman, A.; Levin, M.; Pestov, V.
1997
On amenability and groups of measurable maps. Zbl 1412.43002
Pestov, Vladimir G.; Schneider, Friedrich Martin
2017
On a universality property of some abelian Polish groups. Zbl 1057.22003
Gao, Su; Pestov, Vladimir
2003
Uniformities and uniformly continuous functions on locally connected groups. Zbl 0886.22001
Megrelishvili, Michael; Nickolas, Peter; Pestov, Vladimir
1997
Limit laws for wide varieties of topological groups. Zbl 0892.22001
Kopperman, Ralph D.; Mislove, Michael W.; Morris, Sidney A.; Nickolas, Peter; Pestov, Vladimir; Svetlichny, Sergey
1996
Embeddings and contractions of topological groups. Zbl 0507.22001
Pestov, V. G.
1982
An introduction to hyperlinear and sofic groups. Zbl 1367.20052
Pestov, Vladimir G.; Kwiatkowska, Aleksandra
2013
Representation of residually finite groups by isometries of the Urysohn space. Zbl 1111.43003
Pestov, Vladimir G.; Uspenskij, Vladimir V.
2006
Indexing schemes for similarity search: an illustrated paradigm. Zbl 1095.68580
Pestov, Vladimir; Stojmirović, Aleksandar
2006
A corrigendum to the article: Ramsey-Milman phenomenon, Urysohn metric spaces, and extremely amenable groups. Zbl 1064.43003
Pestov, Vladimir
2005
Free topological groups on metrizable spaces and inductive limits. Zbl 0973.54034
Pestov, Vladimir; Yamada, Kohzo
1999
Ground algebras for superanalysis. Zbl 0681.15014
Pestov, Vladimir
1991
On a ‘super’ version of Lie’s third fundamental theorem. Zbl 0692.22010
Pestov, Vladimir
1989
Interpreting superanalyticity in terms of convergent series. Zbl 0676.58015
Pestov, V.
1989
Free abelian topological groups and Pontryagin duality. Zbl 0599.22003
Pestov, V. G.
1986
Is the $$k$$-NN classifier in high dimensions affected by the curse of dimensionality? Zbl 1362.68248
Pestov, Vladimir
2013
Concentration of measure and whirly actions of Polish groups. Zbl 1213.37011
Pestov, Vladimir
2010
Operator spaces and residually finite-dimensional $$C^*$$-algebras. Zbl 0814.46047
Pestov, Vladimir G.
1994
Amenability versus property $$(T)$$ for non-locally compact topological groups. Zbl 1394.22006
Pestov, Vladimir G.
2018
Indexability, concentration, and VC theory. Zbl 1246.68108
Pestov, Vladimir
2012
A note on the precompactness of weakly almost periodic groups. Zbl 1018.43005
Megrelishvili, M. G.; Pestov, V. G.; Uspenskij, V. V.
2001
Limit laws for wide varieties of topological groups. II. Zbl 0980.22004
Morris, Sidney A.; Nickolas, Peter; Pestov, Vladimir
2000
A topological generalization of the Higman-Neumann-Neumann theorem. Zbl 0907.22003
Morris, Sidney A.; Pestov, Vladimir
1998
Free Banach-Lie algebras, couniversal Banach-Lie groups, and more. Zbl 0785.22025
Pestov, Vladimir G.
1993
Soul expansion of $$G^ \infty$$ superfunctions. Zbl 0807.46042
Pestov, Vladimir G.
1993
On the valuation field invented by A. Robinson and certain structures connected with it. Zbl 0663.46083
Pestov, Vladimir
1991
A balance criterion for locally compact groups. Zbl 0648.22003
Pestov, V. G.
1988
Compactly generated topological groups. Zbl 0623.22003
Pestov, V. G.
1986
Neighborhoods of unity in free topological groups. Zbl 0592.22002
Pestov, V. G.
1985
Some topological properties preserved by the relation of M-equivalence. Zbl 0587.54017
Pestov, V. G.
1984
A topological transformation group without non-trivial equivariant compactifications. Zbl 1405.54018
Pestov, Vladimir G.
2017
On test spaces for amenability. Zbl 1229.43001
Al-Gadid, Yousef; Mbombo, Brice R.; Pestov, Vladimir G.
2011
Special issue: Based on lectures of the workshop on the Urysohn space, Ben-Gurion University of the Negev, Beer Sheva, Israel, May 21–24, 2006. Zbl 1151.54303
Leiderman, A. (ed.); Pestov, V. (ed.); Rubin, M. (ed.); Solecki, S. (ed.); Uspenskiĭ, V.
2008
$$mm$$-spaces and group actions. Zbl 1055.28007
Pestov, Vladimir
2002
Independence of almost periodicity upon the topology of the acting group. Zbl 0923.54033
Pestov, Vladimir
1998
Correction to “Free Banach-Lie algebras, couniversal Banach-Lie groups, and more”. Zbl 0853.22017
Pestov, Vladimir
1995
Regular Lie groups and a theorem of Lie-Palais. Zbl 0848.22025
Pestov, Vladimir
1995
Analysis on superspace: An overview. Zbl 0804.58008
Pestov, Vladimir G.
1994
On enlargability of infinite-dimensional Lie superalgebras. Zbl 0771.17024
Pestov, Vladimir G.
1993
A contribution to nonstandard superanalysis. Zbl 0759.03029
Pestov, Vladimir G.
1992
General construction of Banach-Grassmann algebras. Zbl 0745.46050
Pestov, Vladimir G.
1992
Nonstandard hulls of normed Grassmann algebras and their applications in superanalysis. Zbl 0778.58009
Pestov, V. G.
1991
On unconditionally closed sets and a certain conjecture of A. A. Markov. Zbl 0666.22001
Pestov, V. G.
1988
Fermeture non standard des groupes et algèbres de Lie banachiques. (Non-standard hulls of Banach-Lie groups and algebras). Zbl 0663.22012
Pestov, Vladimir
1988
Thin sets in topological groups and a new precompactness criterion. Zbl 0653.22001
Pestov, V. G.
1987
Relations between classes of almost metrizable, projectively metrizable and $$\aleph _ 0$$-representable topological groups. Zbl 0571.22001
Pestov, V. G.
1983
On topological groups with an approximate fixed point property. Zbl 1373.22034
Barroso, Cleon S.; Mbombo, Brice R.; Pestov, Vladimir G.
2017
Projectively universal countable metrizable groups. Zbl 1354.22001
Pestov, Vladimir G.; Uspenskij, Vladimir V.
2016
Isometries of a generalized numerical radius on compact operators. Zbl 06290556
Gonçalves, Maria Inez Cardoso; Pestov, Vladimir G.
2014
Subgroups of isometries of Urysohn-Katětov metric spaces of uncountable density. Zbl 1251.54034
Mbombo, Brice R.; Pestov, Vladimir G.
2012
Fixed point-free isometric actions of topological groups on Banach spaces. Zbl 1207.22002
Nguyen, Van Thé Lionel; Pestov, Vladimir G.
2010
Additive models in high dimensions. Zbl 1078.65521
Hegland, Markus; Pestov, Vladimir
2005
Remarks on actions on compacta by some infinite-dimensional groups. Zbl 1018.22016
Pestov, Vladimir
2002
Subgroups of monothetic groups. Zbl 0961.22002
Morris, Sidney A.; Pestov, Vladimir
2000
Two 1935 questions of Mazur about polynomials in Banach spaces: Counter-examples. Zbl 0981.46020
Pestov, Vladimir
2000
Quotient supermanifolds. Zbl 0916.58002
Bartocci, Claudio; Bruzzo, Ugo; Hernández Ruipérez, Daniel; Pestov, Vladimir
1998
On linear continuous open surjections of the spaces $$C_p(X)$$. Zbl 0912.54020
Leiderman, A.; Levin, M.; Pestov, V.
1997
Epimorphisms of Hausdorff groups by way of topological dynamics. Zbl 0891.22003
Pestov, Vladimir
1997
Supermanifold theory: towards a unifying approach. Zbl 0915.58009
Bartocci, C.; Bruzzo, U.; Hernández Ruipérez, D.; Pestov, V.
1996
Small large subgroups of a topological group. Zbl 0891.22001
Hofmann, K. H.; Morris, S. A.; Nickolas, P.; Pestov, V.
1994
On even collective effects in purely odd superspaces. Zbl 0845.58005
Pestov, Vladimir G.
1994
Douady’s conjecture on Banach analytic spaces. Zbl 0819.32012
Pestov, Vladimir
1994
Universal arrows to forgetful functors from categories of topological algebra. Zbl 0784.18002
Pestov, Vladimir G.
1993
Enlargeable Banach-Lie algebras and free topological groups. Zbl 0785.22024
Pestov, Vladimir G.
1993
Nonstandard hulls of Banach-Lie groups and algebras. Zbl 0876.46037
Pestov, Vladimir G.
1992
Homomorphisms of topological groups not factorized with respect to weight and dimension. Zbl 0621.22001
Pestov, V. G.
1987
On compactly generated topological groups. Zbl 0617.22001
Pestov, V. G.
1986
The continuous homomorphic maps of the groups with countable base do not exhaust all groups with countable network. Zbl 0598.22004
Pestov, V. G.; Shakhmatov, D. B.
1986
An example of a nonmetrizable minimal topological group whose identity is of type $$G_{\delta}$$. Zbl 0595.22004
Pestov, V. G.
1985
A construction of Mishchenko in the theory of homogeneous spaces. Zbl 0571.54012
Okromeshko, N. G.; Pestov, V. G.
1984
Amenability versus property $$(T)$$ for non-locally compact topological groups. Zbl 1394.22006
Pestov, Vladimir G.
2018
On topological groups admitting a base at the identity indexed by $$\omega ^{\omega}$$. Zbl 1382.22002
Leiderman, Arkady G.; Pestov, Vladimir G.; Tomita, Artur H.
2017
On amenability and groups of measurable maps. Zbl 1412.43002
Pestov, Vladimir G.; Schneider, Friedrich Martin
2017
A topological transformation group without non-trivial equivariant compactifications. Zbl 1405.54018
Pestov, Vladimir G.
2017
On topological groups with an approximate fixed point property. Zbl 1373.22034
Barroso, Cleon S.; Mbombo, Brice R.; Pestov, Vladimir G.
2017
Projectively universal countable metrizable groups. Zbl 1354.22001
Pestov, Vladimir G.; Uspenskij, Vladimir V.
2016
Isometries of a generalized numerical radius on compact operators. Zbl 06290556
Gonçalves, Maria Inez Cardoso; Pestov, Vladimir G.
2014
An introduction to hyperlinear and sofic groups. Zbl 1367.20052
Pestov, Vladimir G.; Kwiatkowska, Aleksandra
2013
Is the $$k$$-NN classifier in high dimensions affected by the curse of dimensionality? Zbl 1362.68248
Pestov, Vladimir
2013
Indexability, concentration, and VC theory. Zbl 1246.68108
Pestov, Vladimir
2012
Subgroups of isometries of Urysohn-Katětov metric spaces of uncountable density. Zbl 1251.54034
Mbombo, Brice R.; Pestov, Vladimir G.
2012
On test spaces for amenability. Zbl 1229.43001
Al-Gadid, Yousef; Mbombo, Brice R.; Pestov, Vladimir G.
2011
Concentration of measure and whirly actions of Polish groups. Zbl 1213.37011
Pestov, Vladimir
2010
Fixed point-free isometric actions of topological groups on Banach spaces. Zbl 1207.22002
Nguyen, Van Thé Lionel; Pestov, Vladimir G.
2010
Hyperlinear and sofic groups: a brief guide. Zbl 1206.20048
Pestov, Vladimir G.
2008
A theorem of Hrushovski-Solecki-Vershik applied to uniform and coarse embeddings of the Urysohn metric space. Zbl 1152.46062
Pestov, Vladimir G.
2008
An axiomatic approach to intrinsic dimension of a dataset. Zbl 1254.68102
Pestov, Vladimir
2008
Special issue: Based on lectures of the workshop on the Urysohn space, Ben-Gurion University of the Negev, Beer Sheva, Israel, May 21–24, 2006. Zbl 1151.54303
Leiderman, A. (ed.); Pestov, V. (ed.); Rubin, M. (ed.); Solecki, S. (ed.); Uspenskiĭ, V.
2008
Some extremely amenable groups related to operator algebras and ergodic theory. Zbl 1133.22001
Giordano, Thierry; Pestov, Vladimir
2007
The isometry group of the Urysohn space as a Lévy group. Zbl 1127.22001
Pestov, Vladimir
2007
Dynamics of infinite-dimensional groups. The Ramsey-Dvoretzky-Milman phenomenon. Zbl 1123.37003
Pestov, Vladimir
2006
Representation of residually finite groups by isometries of the Urysohn space. Zbl 1111.43003
Pestov, Vladimir G.; Uspenskij, Vladimir V.
2006
Indexing schemes for similarity search: an illustrated paradigm. Zbl 1095.68580
Pestov, Vladimir; Stojmirović, Aleksandar
2006
Fraïssé limits, Ramsey theory, and topological dynamics of automorphism groups. Zbl 1084.54014
Kechris, A. S.; Pestov, V. G.; Todorcevic, S.
2005
Dynamics of infinite-dimensional groups and Ramsey-type phenomena. Paper from the 25th Brazilian mathematics colloquium – colóquio Brasileiro de matemática, Rio de Janeiro, Brazil, July 24–29, 2005. Zbl 1076.37005
Pestov, Vladimir
2005
A corrigendum to the article: Ramsey-Milman phenomenon, Urysohn metric spaces, and extremely amenable groups. Zbl 1064.43003
Pestov, Vladimir
2005
Additive models in high dimensions. Zbl 1078.65521
Hegland, Markus; Pestov, Vladimir
2005
On some questions of Eymard and Bekka concerning amenability of homogeneous spaces and induced representations. Zbl 1092.43003
Pestov, Vladimir
2003
On a universality property of some abelian Polish groups. Zbl 1057.22003
Gao, Su; Pestov, Vladimir
2003
Ramsey-Milman phenomenon, Urysohn metric spaces, and extremely amenable groups. Zbl 1007.43001
Pestov, Vladimir
2002
Some extremely amenable groups. Zbl 0995.43001
Giordano, Thierry; Pestov, Vladimir
2002
$$mm$$-spaces and group actions. Zbl 1055.28007
Pestov, Vladimir
2002
Remarks on actions on compacta by some infinite-dimensional groups. Zbl 1018.22016
Pestov, Vladimir
2002
A note on the precompactness of weakly almost periodic groups. Zbl 1018.43005
Megrelishvili, M. G.; Pestov, V. G.; Uspenskij, V. V.
2001
On the geometry of similarity search: dimensionality curse and concentration of measure. Zbl 1339.68245
Pestov, Vladimir
2000
Amenable representations and dynamics of the unit sphere in an infinite-dimensional Hilbert space. Zbl 0976.43001
Pestov, V. G.
2000
Limit laws for wide varieties of topological groups. II. Zbl 0980.22004
Morris, Sidney A.; Nickolas, Peter; Pestov, Vladimir
2000
Subgroups of monothetic groups. Zbl 0961.22002
Morris, Sidney A.; Pestov, Vladimir
2000
Two 1935 questions of Mazur about polynomials in Banach spaces: Counter-examples. Zbl 0981.46020
Pestov, Vladimir
2000
Topological groups: Where to from here? Zbl 1026.22002
Pestov, Vladimir
1999
On the structure of DeWitt supermanifolds. Zbl 0931.58005
Bruzzo, Ugo; Pestov, Vladimir
1999
Free topological groups on metrizable spaces and inductive limits. Zbl 0973.54034
Pestov, Vladimir; Yamada, Kohzo
1999
On free actions, minimal flows, and a problem by Ellis. Zbl 0911.54034
Pestov, Vladimir G.
1998
On Lie groups in varieties of topological groups. Zbl 0917.22003
Morris, Sidney A.; Pestov, Vladimir
1998
Some universal constructions in abstract topological dynamics. Zbl 0891.54018
Pestov, V.
1998
A topological generalization of the Higman-Neumann-Neumann theorem. Zbl 0907.22003
Morris, Sidney A.; Pestov, Vladimir
1998
Independence of almost periodicity upon the topology of the acting group. Zbl 0923.54033
Pestov, Vladimir
1998
Quotient supermanifolds. Zbl 0916.58002
Bartocci, Claudio; Bruzzo, Ugo; Hernández Ruipérez, Daniel; Pestov, Vladimir
1998
The free abelian topological group and the free locally convex space on the unit interval. Zbl 0907.22002
Leiderman, Arkady; Morris, Sidney A.; Pestov, Vladimir
1997
On linear continuous open surjections of the spaces $$C_ p(X)$$. Zbl 0888.54020
Leiderman, A.; Levin, M.; Pestov, V.
1997
Uniformities and uniformly continuous functions on locally connected groups. Zbl 0886.22001
Megrelishvili, Michael; Nickolas, Peter; Pestov, Vladimir
1997
On linear continuous open surjections of the spaces $$C_p(X)$$. Zbl 0912.54020
Leiderman, A.; Levin, M.; Pestov, V.
1997
Epimorphisms of Hausdorff groups by way of topological dynamics. Zbl 0891.22003
Pestov, Vladimir
1997
Limit laws for wide varieties of topological groups. Zbl 0892.22001
Kopperman, Ralph D.; Mislove, Michael W.; Morris, Sidney A.; Nickolas, Peter; Pestov, Vladimir; Svetlichny, Sergey
1996
Supermanifold theory: towards a unifying approach. Zbl 0915.58009
Bartocci, C.; Bruzzo, U.; Hernández Ruipérez, D.; Pestov, V.
1996
Free Abelian topological groups and the Pontryagin-van Kampen duality. Zbl 0841.22001
Pestov, Vladimir
1995
Correction to “Free Banach-Lie algebras, couniversal Banach-Lie groups, and more”. Zbl 0853.22017
Pestov, Vladimir
1995
Regular Lie groups and a theorem of Lie-Palais. Zbl 0848.22025
Pestov, Vladimir
1995
Operator spaces and residually finite-dimensional $$C^*$$-algebras. Zbl 0814.46047
Pestov, Vladimir G.
1994
Analysis on superspace: An overview. Zbl 0804.58008
Pestov, Vladimir G.
1994
Small large subgroups of a topological group. Zbl 0891.22001
Hofmann, K. H.; Morris, S. A.; Nickolas, P.; Pestov, V.
1994
On even collective effects in purely odd superspaces. Zbl 0845.58005
Pestov, Vladimir G.
1994
Douady’s conjecture on Banach analytic spaces. Zbl 0819.32012
Pestov, Vladimir
1994
Foundations of supermanifold theory: The axiomatic approach. Zbl 0784.58008
Bartocci, C.; Bruzzo, U.; Hernández Ruipérez, D.; Pestov, V. G.
1993
Free Banach-Lie algebras, couniversal Banach-Lie groups, and more. Zbl 0785.22025
Pestov, Vladimir G.
1993
Soul expansion of $$G^ \infty$$ superfunctions. Zbl 0807.46042
Pestov, Vladimir G.
1993
On enlargability of infinite-dimensional Lie superalgebras. Zbl 0771.17024
Pestov, Vladimir G.
1993
Universal arrows to forgetful functors from categories of topological algebra. Zbl 0784.18002
Pestov, Vladimir G.
1993
Enlargeable Banach-Lie algebras and free topological groups. Zbl 0785.22024
Pestov, Vladimir G.
1993
A contribution to nonstandard superanalysis. Zbl 0759.03029
Pestov, Vladimir G.
1992
General construction of Banach-Grassmann algebras. Zbl 0745.46050
Pestov, Vladimir G.
1992
Nonstandard hulls of Banach-Lie groups and algebras. Zbl 0876.46037
Pestov, Vladimir G.
1992
On an axiomatic approach to supermanifolds. Zbl 0801.58001
Bartocci, C.; Bruzzo, U.; Pestov, V. G.; Hernández Ruipérez, D.
1991
Even sectors of Lie superalgebras as locally convex Lie algebras. Zbl 0693.17015
Pestov, Vladimir
1991
Ground algebras for superanalysis. Zbl 0681.15014
Pestov, Vladimir
1991
On the valuation field invented by A. Robinson and certain structures connected with it. Zbl 0663.46083
Pestov, Vladimir
1991
Nonstandard hulls of normed Grassmann algebras and their applications in superanalysis. Zbl 0778.58009
Pestov, V. G.
1991
Free topological groups over metrizable spaces. Zbl 0689.54009
Arkhangel’skij, A. V.; Okunev, O. G.; Pestov, V. G.
1989
On a ‘super’ version of Lie’s third fundamental theorem. Zbl 0692.22010
Pestov, Vladimir
1989
Interpreting superanalyticity in terms of convergent series. Zbl 0676.58015
Pestov, V.
1989
A balance test for locally compact groups. Zbl 0663.22004
Pestov, V. G.
1988
A balance criterion for locally compact groups. Zbl 0648.22003
Pestov, V. G.
1988
On unconditionally closed sets and a certain conjecture of A. A. Markov. Zbl 0666.22001
Pestov, V. G.
1988
Fermeture non standard des groupes et algèbres de Lie banachiques. (Non-standard hulls of Banach-Lie groups and algebras). Zbl 0663.22012
Pestov, Vladimir
1988
Thin sets in topological groups and a new precompactness criterion. Zbl 0653.22001
Pestov, V. G.
1987
Homomorphisms of topological groups not factorized with respect to weight and dimension. Zbl 0621.22001
Pestov, V. G.
1987
Free Banach spaces and representations of topological groups. Zbl 0635.22005
Pestov, V. G.
1986
Free abelian topological groups and Pontryagin duality. Zbl 0599.22003
Pestov, V. G.
1986
Compactly generated topological groups. Zbl 0623.22003
Pestov, V. G.
1986
On compactly generated topological groups. Zbl 0617.22001
Pestov, V. G.
1986
The continuous homomorphic maps of the groups with countable base do not exhaust all groups with countable network. Zbl 0598.22004
Pestov, V. G.; Shakhmatov, D. B.
1986
The neighbourhoods of identity in free topological groups. Zbl 0576.22001
Pestov, V. G.
1985
Neighborhoods of unity in free topological groups. Zbl 0592.22002
Pestov, V. G.
1985
An example of a nonmetrizable minimal topological group whose identity is of type $$G_{\delta}$$. Zbl 0595.22004
Pestov, V. G.
1985
Some topological properties preserved by the relation of M-equivalence. Zbl 0587.54017
Pestov, V. G.
1984
A construction of Mishchenko in the theory of homogeneous spaces. Zbl 0571.54012
Okromeshko, N. G.; Pestov, V. G.
1984
Relations between classes of almost metrizable, projectively metrizable and $$\aleph _ 0$$-representable topological groups. Zbl 0571.22001
Pestov, V. G.
1983
The coincidence of the dimensions dim of l-equivalent topological spaces. Zbl 0518.54030
Pestov, V. G.
1982
Some properties of free topological groups. Zbl 0499.22001
Pestov, V. G.
1982
Embeddings and contractions of topological groups. Zbl 0507.22001
Pestov, V. G.
1982
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#### Cited by 537 Authors

 33 Pestov, Vladimir G. 18 Tkachenko, Mikhail Gelievich 14 Dikranjan, Dikran N. 14 Lin, Fucai 14 Nešetřil, Jaroslav 13 Liu, Chuan 12 Lin, Shou 11 Solecki, Sławomir 10 Sokić, Miodrag 9 Glasner, Eli 9 Hubička, Jan 9 Megrelishvili, Michael G. 8 Bruzzo, Ugo 8 Doucha, Michal 8 Gabriyelyan, Saak S. 8 Mašulović, Dragan 8 Nguyen Van Thé, Lionel 7 Bowen, Lewis Phylip 7 Leiderman, Arkady G. 7 Morris, Sidney A. 7 Schneider, Friedrich Martin 7 Thom, Andreas Berthold 7 Troallic, Jean-Pierre 6 Le Maître, François 6 Lupini, Martino 6 Shakhmatov, Dmitri B. 6 Todorcevic, Stevo B. 6 Tsankov, Todor 6 Uspenskiĭ, Vladimir Vladimirovich 6 Yamada, Kohzo 5 Arkhangel’skiĭ, Aleksandr Vladimirovich 5 Farah, Ilijas 5 Kechris, Alexander S. 5 Kwiatkowska, Aleksandra 5 Lau, Anthony To-Ming 5 Melleray, Julien 5 Sauer, Norbert W. 5 Shlossberg, Menachem 4 Arzhantseva, Goulnara N. 4 Außenhofer, Lydia 4 Elek, Gábor 4 Glebsky, Lev Yu. 4 Guingona, Vincent 4 Hart, Bradd T. 4 Hill, Cameron Donnay 4 Malicki, Maciej 4 Mbombo, Brice R. 4 Monod, Nicolas 4 Pachl, Jan K. 4 Păunescu, Liviu 4 Sardanashvily, Gennadi A. 4 Scow, Lynn 4 Zucker, Andy 3 Banakh, Taras Onufrievich 3 Bartošová, Dana 3 Ben-Yaacov, Itaï 3 Bodirsky, Manuel 3 Bruguera, Montserrat 3 Cai, Zhangyong Cai 3 Carderi, Alessandro 3 Chasco, María Jesús 3 Choban, Mitrofan Mihailovich 3 Dobrinen, Natasha L. 3 Galindo, Jorge 3 Hansel, Georges 3 Hayes, Ben J. 3 Hernández, Salvador 3 Ibarlucía, Tomás 3 Kubiś, Wiesław 3 Lopez-Abad, Jordi 3 Macpherson, Dugald 3 Neeb, Karl-Hermann 3 Neufang, Matthias 3 Rosendal, Christian 3 Sabok, Marcin 3 Shelah, Saharon 3 Shtern, Aleksandr Isaakovich 3 Thomas, Simon R. 3 Tucker-Drob, Robin D. 3 Xi, Wenfei 3 Xie, Lihong 2 Azizpour, Esmaeil 2 Bartocci, Claudio 2 Beltiţă, Daniel 2 Berlai, Federico 2 Bouziad, Ahmed 2 Burton, Peter J. 2 Catenacci, Roberto 2 Collins, Benoît 2 de Cornulier, Yves 2 Debernardi, Marco 2 Di Santo, Raffaele 2 Dolinka, Igor 2 Domínguez, Xabier 2 Duchesne, Bruno 2 Feng, Ziqin 2 Ferrer, Maria Vicenta 2 Ferri, Stefano 2 Filali, Mahmoud 2 Finn-Sell, Martin ...and 437 more Authors
all top 5

#### Cited in 151 Serials

 109 Topology and its Applications 21 Journal of Functional Analysis 20 Israel Journal of Mathematics 20 Transactions of the American Mathematical Society 17 Proceedings of the American Mathematical Society 16 Advances in Mathematics 15 Ergodic Theory and Dynamical Systems 12 Journal of Mathematical Analysis and Applications 11 Journal of Geometry and Physics 10 Annals of Pure and Applied Logic 8 Bulletin of the Australian Mathematical Society 7 Discrete Mathematics 7 Fundamenta Mathematicae 7 European Journal of Combinatorics 7 Forum Mathematicum 6 Mathematical Notes 6 Annales de l’Institut Fourier 6 Journal of Algebra 6 Journal of Combinatorial Theory. Series A 6 Order 5 Journal of Mathematical Physics 5 Bulletin of the London Mathematical Society 5 The Journal of Symbolic Logic 5 Siberian Mathematical Journal 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Groups, Geometry, and Dynamics 4 Journal d’Analyse Mathématique 4 Inventiones Mathematicae 4 Journal of Pure and Applied Algebra 4 Monatshefte für Mathematik 4 Differential Geometry and its Applications 4 Archive for Mathematical Logic 4 Forum of Mathematics, Sigma 4 Axioms 3 Nuclear Physics. B 3 Reports on Mathematical Physics 3 Mathematische Annalen 3 Mathematische Zeitschrift 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Geometric and Functional Analysis. GAFA 3 Journal of Mathematical Sciences (New York) 3 Mathematical Logic Quarterly (MLQ) 3 Journal of Group Theory 3 Journal of Mathematical Logic 3 Topological Algebra and its Applications 2 Computers & Mathematics with Applications 2 Information Processing Letters 2 Archiv der Mathematik 2 Information Sciences 2 Journal of Combinatorial Theory. Series B 2 Mathematika 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Results in Mathematics 2 Semigroup Forum 2 Combinatorica 2 Expositiones Mathematicae 2 Indagationes Mathematicae. New Series 2 Annales Mathématiques Blaise Pascal 2 The Bulletin of Symbolic Logic 2 Mathematical Problems in Engineering 2 International Journal of Geometric Methods in Modern Physics 2 Oberwolfach Reports 2 Complex Variables and Elliptic Equations 2 Logical Methods in Computer Science 2 Statistical Analysis and Data Mining 2 Advances in Mathematical Physics 2 Science China. Mathematics 2 Applied General Topology 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Forum of Mathematics, Pi 2 Journal of Mathematics 1 Communications in Algebra 1 Communications in Mathematical Physics 1 Computer Methods in Applied Mechanics and Engineering 1 Letters in Mathematical Physics 1 Russian Mathematical Surveys 1 Studia Mathematica 1 Theoretical and Mathematical Physics 1 Ukrainian Mathematical Journal 1 Algebra Universalis 1 Anais da Academia Brasileira de Ciências 1 Canadian Mathematical Bulletin 1 Commentarii Mathematici Helvetici 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Functional Analysis and its Applications 1 Geometriae Dedicata 1 Integral Equations and Operator Theory 1 Journal of Computational and Applied Mathematics 1 Journal of Graph Theory 1 Journal für die Reine und Angewandte Mathematik 1 Journal of Soviet Mathematics 1 Mathematica Slovaca 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Notre Dame Journal of Formal Logic 1 Proceedings of the London Mathematical Society. Third Series 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Ricerche di Matematica 1 SIAM Journal on Computing ...and 51 more Serials
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#### Cited in 48 Fields

 223 General topology (54-XX) 198 Topological groups, Lie groups (22-XX) 110 Mathematical logic and foundations (03-XX) 103 Functional analysis (46-XX) 82 Combinatorics (05-XX) 82 Dynamical systems and ergodic theory (37-XX) 81 Group theory and generalizations (20-XX) 66 Abstract harmonic analysis (43-XX) 34 Global analysis, analysis on manifolds (58-XX) 21 Operator theory (47-XX) 21 Computer science (68-XX) 19 Measure and integration (28-XX) 18 Differential geometry (53-XX) 17 Order, lattices, ordered algebraic structures (06-XX) 16 Nonassociative rings and algebras (17-XX) 15 Manifolds and cell complexes (57-XX) 15 Quantum theory (81-XX) 13 Statistics (62-XX) 11 Associative rings and algebras (16-XX) 11 Category theory; homological algebra (18-XX) 9 Probability theory and stochastic processes (60-XX) 8 General algebraic systems (08-XX) 8 Real functions (26-XX) 8 Geometry (51-XX) 7 General and overarching topics; collections (00-XX) 5 Algebraic geometry (14-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Algebraic topology (55-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Number theory (11-XX) 3 Field theory and polynomials (12-XX) 3 Functions of a complex variable (30-XX) 2 Ordinary differential equations (34-XX) 2 Numerical analysis (65-XX) 2 Mechanics of particles and systems (70-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 $$K$$-theory (19-XX) 1 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Information and communication theory, circuits (94-XX)