Edit Profile Pestov, Vladimir G. Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 1084.54014Kechris, A. S.; Pestov, V. G.; Todorcevic, S. 123 2005 Hyperlinear and sofic groups: a brief guide. Zbl 1206.20048Pestov, Vladimir G. 72 2008 Dynamics of infinite-dimensional groups. The Ramsey-Dvoretzky-Milman phenomenon. Zbl 1123.37003Pestov, Vladimir 72 2006 On free actions, minimal flows, and a problem by Ellis. Zbl 0911.54034Pestov, Vladimir G. 51 1998 Some extremely amenable groups related to operator algebras and ergodic theory. Zbl 1133.22001Giordano, Thierry; Pestov, Vladimir 33 2007 Free topological groups over metrizable spaces. Zbl 0689.54009Arkhangel’skij, A. V.; Okunev, O. G.; Pestov, V. G. 30 1989 Ramsey-Milman phenomenon, Urysohn metric spaces, and extremely amenable groups. Zbl 1007.43001Pestov, Vladimir 28 2002 Free Abelian topological groups and the Pontryagin-van Kampen duality. Zbl 0841.22001Pestov, Vladimir 20 1995 On an axiomatic approach to supermanifolds. Zbl 0801.58001Bartocci, C.; Bruzzo, U.; Pestov, V. G.; Hernández Ruipérez, D. 19 1991 The coincidence of the dimensions dim of l-equivalent topological spaces. Zbl 0518.54030Pestov, V. G. 17 1982 Topological groups: Where to from here? Zbl 1026.22002Pestov, Vladimir 15 1999 The free abelian topological group and the free locally convex space on the unit interval. Zbl 0907.22002Leiderman, Arkady; Morris, Sidney A.; Pestov, Vladimir 15 1997 Some properties of free topological groups. Zbl 0499.22001Pestov, V. G. 14 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 1076.37005Pestov, Vladimir 13 2005 On the geometry of similarity search: dimensionality curse and concentration of measure. Zbl 1339.68245Pestov, Vladimir 13 2000 On Lie groups in varieties of topological groups. Zbl 0917.22003Morris, Sidney A.; Pestov, Vladimir 13 1998 Some extremely amenable groups. Zbl 0995.43001Giordano, Thierry; Pestov, Vladimir 11 2002 Foundations of supermanifold theory: The axiomatic approach. Zbl 0784.58008Bartocci, C.; Bruzzo, U.; Hernández Ruipérez, D.; Pestov, V. G. 11 1993 The neighbourhoods of identity in free topological groups. Zbl 0576.22001Pestov, V. G. 11 1985 The isometry group of the Urysohn space as a Lévy group. Zbl 1127.22001Pestov, Vladimir 10 2007 A balance test for locally compact groups. Zbl 0663.22004Pestov, V. G. 10 1988 Free Banach spaces and representations of topological groups. Zbl 0635.22005Pestov, V. G. 10 1986 On some questions of Eymard and Bekka concerning amenability of homogeneous spaces and induced representations. Zbl 1092.43003Pestov, Vladimir 9 2003 A theorem of Hrushovski-Solecki-Vershik applied to uniform and coarse embeddings of the Urysohn metric space. Zbl 1152.46062Pestov, Vladimir G. 8 2008 On the structure of DeWitt supermanifolds. Zbl 0931.58005Bruzzo, Ugo; Pestov, Vladimir 8 1999 Some universal constructions in abstract topological dynamics. Zbl 0891.54018Pestov, V. 8 1998 Even sectors of Lie superalgebras as locally convex Lie algebras. Zbl 0693.17015Pestov, Vladimir 8 1991 On topological groups admitting a base at the identity indexed by \(\omega ^{\omega}\). Zbl 1382.22002Leiderman, Arkady G.; Pestov, Vladimir G.; Tomita, Artur H. 7 2017 An axiomatic approach to intrinsic dimension of a dataset. Zbl 1254.68102Pestov, Vladimir 7 2008 Amenable representations and dynamics of the unit sphere in an infinite-dimensional Hilbert space. Zbl 0976.43001Pestov, V. G. 7 2000 On linear continuous open surjections of the spaces \(C_ p(X)\). Zbl 0888.54020Leiderman, A.; Levin, M.; Pestov, V. 7 1997 On amenability and groups of measurable maps. Zbl 1412.43002Pestov, Vladimir G.; Schneider, Friedrich Martin 6 2017 On a universality property of some abelian Polish groups. Zbl 1057.22003Gao, Su; Pestov, Vladimir 6 2003 Uniformities and uniformly continuous functions on locally connected groups. Zbl 0886.22001Megrelishvili, Michael; Nickolas, Peter; Pestov, Vladimir 6 1997 Limit laws for wide varieties of topological groups. Zbl 0892.22001Kopperman, Ralph D.; Mislove, Michael W.; Morris, Sidney A.; Nickolas, Peter; Pestov, Vladimir; Svetlichny, Sergey 6 1996 Embeddings and contractions of topological groups. Zbl 0507.22001Pestov, V. G. 6 1982 An introduction to hyperlinear and sofic groups. Zbl 1367.20052Pestov, Vladimir G.; Kwiatkowska, Aleksandra 5 2013 Representation of residually finite groups by isometries of the Urysohn space. Zbl 1111.43003Pestov, Vladimir G.; Uspenskij, Vladimir V. 5 2006 Indexing schemes for similarity search: an illustrated paradigm. Zbl 1095.68580Pestov, Vladimir; Stojmirović, Aleksandar 5 2006 A corrigendum to the article: Ramsey-Milman phenomenon, Urysohn metric spaces, and extremely amenable groups. Zbl 1064.43003Pestov, Vladimir 5 2005 Free topological groups on metrizable spaces and inductive limits. Zbl 0973.54034Pestov, Vladimir; Yamada, Kohzo 5 1999 Ground algebras for superanalysis. Zbl 0681.15014Pestov, Vladimir 5 1991 On a ‘super’ version of Lie’s third fundamental theorem. Zbl 0692.22010Pestov, Vladimir 5 1989 Interpreting superanalyticity in terms of convergent series. Zbl 0676.58015Pestov, V. 5 1989 Free abelian topological groups and Pontryagin duality. Zbl 0599.22003Pestov, V. G. 5 1986 Is the \(k\)-NN classifier in high dimensions affected by the curse of dimensionality? Zbl 1362.68248Pestov, Vladimir 4 2013 Concentration of measure and whirly actions of Polish groups. Zbl 1213.37011Pestov, Vladimir 4 2010 Operator spaces and residually finite-dimensional \(C^*\)-algebras. Zbl 0814.46047Pestov, Vladimir G. 4 1994 Amenability versus property \((T)\) for non-locally compact topological groups. Zbl 1394.22006Pestov, Vladimir G. 3 2018 Indexability, concentration, and VC theory. Zbl 1246.68108Pestov, Vladimir 3 2012 A note on the precompactness of weakly almost periodic groups. Zbl 1018.43005Megrelishvili, M. G.; Pestov, V. G.; Uspenskij, V. V. 3 2001 Limit laws for wide varieties of topological groups. II. Zbl 0980.22004Morris, Sidney A.; Nickolas, Peter; Pestov, Vladimir 3 2000 A topological generalization of the Higman-Neumann-Neumann theorem. Zbl 0907.22003Morris, Sidney A.; Pestov, Vladimir 3 1998 Free Banach-Lie algebras, couniversal Banach-Lie groups, and more. Zbl 0785.22025Pestov, Vladimir G. 3 1993 Soul expansion of \(G^ \infty\) superfunctions. Zbl 0807.46042Pestov, Vladimir G. 3 1993 On the valuation field invented by A. Robinson and certain structures connected with it. Zbl 0663.46083Pestov, Vladimir 3 1991 A balance criterion for locally compact groups. Zbl 0648.22003Pestov, V. G. 3 1988 Compactly generated topological groups. Zbl 0623.22003Pestov, V. G. 3 1986 Neighborhoods of unity in free topological groups. Zbl 0592.22002Pestov, V. G. 3 1985 Some topological properties preserved by the relation of M-equivalence. Zbl 0587.54017Pestov, V. G. 3 1984 A topological transformation group without non-trivial equivariant compactifications. Zbl 1405.54018Pestov, Vladimir G. 2 2017 On test spaces for amenability. Zbl 1229.43001Al-Gadid, Yousef; Mbombo, Brice R.; Pestov, Vladimir G. 2 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 1151.54303Leiderman, A. (ed.); Pestov, V. (ed.); Rubin, M. (ed.); Solecki, S. (ed.); Uspenskiĭ, V. 2 2008 \(mm\)-spaces and group actions. Zbl 1055.28007Pestov, Vladimir 2 2002 Independence of almost periodicity upon the topology of the acting group. Zbl 0923.54033Pestov, Vladimir 2 1998 Correction to “Free Banach-Lie algebras, couniversal Banach-Lie groups, and more”. Zbl 0853.22017Pestov, Vladimir 2 1995 Regular Lie groups and a theorem of Lie-Palais. Zbl 0848.22025Pestov, Vladimir 2 1995 Analysis on superspace: An overview. Zbl 0804.58008Pestov, Vladimir G. 2 1994 On enlargability of infinite-dimensional Lie superalgebras. Zbl 0771.17024Pestov, Vladimir G. 2 1993 A contribution to nonstandard superanalysis. Zbl 0759.03029Pestov, Vladimir G. 2 1992 General construction of Banach-Grassmann algebras. Zbl 0745.46050Pestov, Vladimir G. 2 1992 Nonstandard hulls of normed Grassmann algebras and their applications in superanalysis. Zbl 0778.58009Pestov, V. G. 2 1991 On unconditionally closed sets and a certain conjecture of A. A. Markov. Zbl 0666.22001Pestov, V. G. 2 1988 Fermeture non standard des groupes et algèbres de Lie banachiques. (Non-standard hulls of Banach-Lie groups and algebras). Zbl 0663.22012Pestov, Vladimir 2 1988 Thin sets in topological groups and a new precompactness criterion. Zbl 0653.22001Pestov, V. G. 2 1987 Relations between classes of almost metrizable, projectively metrizable and \(\aleph _ 0\)-representable topological groups. Zbl 0571.22001Pestov, V. G. 2 1983 On topological groups with an approximate fixed point property. Zbl 1373.22034Barroso, Cleon S.; Mbombo, Brice R.; Pestov, Vladimir G. 1 2017 Projectively universal countable metrizable groups. Zbl 1354.22001Pestov, Vladimir G.; Uspenskij, Vladimir V. 1 2016 Isometries of a generalized numerical radius on compact operators. Zbl 06290556Gonçalves, Maria Inez Cardoso; Pestov, Vladimir G. 1 2014 Subgroups of isometries of Urysohn-Katětov metric spaces of uncountable density. Zbl 1251.54034Mbombo, Brice R.; Pestov, Vladimir G. 1 2012 Fixed point-free isometric actions of topological groups on Banach spaces. Zbl 1207.22002Nguyen, Van Thé Lionel; Pestov, Vladimir G. 1 2010 Additive models in high dimensions. Zbl 1078.65521Hegland, Markus; Pestov, Vladimir 1 2005 Remarks on actions on compacta by some infinite-dimensional groups. Zbl 1018.22016Pestov, Vladimir 1 2002 Subgroups of monothetic groups. Zbl 0961.22002Morris, Sidney A.; Pestov, Vladimir 1 2000 Two 1935 questions of Mazur about polynomials in Banach spaces: Counter-examples. Zbl 0981.46020Pestov, Vladimir 1 2000 Quotient supermanifolds. Zbl 0916.58002Bartocci, Claudio; Bruzzo, Ugo; Hernández Ruipérez, Daniel; Pestov, Vladimir 1 1998 On linear continuous open surjections of the spaces \(C_p(X)\). Zbl 0912.54020Leiderman, A.; Levin, M.; Pestov, V. 1 1997 Epimorphisms of Hausdorff groups by way of topological dynamics. Zbl 0891.22003Pestov, Vladimir 1 1997 Supermanifold theory: towards a unifying approach. Zbl 0915.58009Bartocci, C.; Bruzzo, U.; Hernández Ruipérez, D.; Pestov, V. 1 1996 Small large subgroups of a topological group. Zbl 0891.22001Hofmann, K. H.; Morris, S. A.; Nickolas, P.; Pestov, V. 1 1994 On even collective effects in purely odd superspaces. Zbl 0845.58005Pestov, Vladimir G. 1 1994 Douady’s conjecture on Banach analytic spaces. Zbl 0819.32012Pestov, Vladimir 1 1994 Universal arrows to forgetful functors from categories of topological algebra. Zbl 0784.18002Pestov, Vladimir G. 1 1993 Enlargeable Banach-Lie algebras and free topological groups. Zbl 0785.22024Pestov, Vladimir G. 1 1993 Nonstandard hulls of Banach-Lie groups and algebras. Zbl 0876.46037Pestov, Vladimir G. 1 1992 Homomorphisms of topological groups not factorized with respect to weight and dimension. Zbl 0621.22001Pestov, V. G. 1 1987 On compactly generated topological groups. Zbl 0617.22001Pestov, V. G. 1 1986 The continuous homomorphic maps of the groups with countable base do not exhaust all groups with countable network. Zbl 0598.22004Pestov, V. G.; Shakhmatov, D. B. 1 1986 An example of a nonmetrizable minimal topological group whose identity is of type \(G_{\delta}\). Zbl 0595.22004Pestov, V. G. 1 1985 A construction of Mishchenko in the theory of homogeneous spaces. Zbl 0571.54012Okromeshko, N. G.; Pestov, V. G. 1 1984 Amenability versus property \((T)\) for non-locally compact topological groups. Zbl 1394.22006Pestov, Vladimir G. 3 2018 On topological groups admitting a base at the identity indexed by \(\omega ^{\omega}\). Zbl 1382.22002Leiderman, Arkady G.; Pestov, Vladimir G.; Tomita, Artur H. 7 2017 On amenability and groups of measurable maps. Zbl 1412.43002Pestov, Vladimir G.; Schneider, Friedrich Martin 6 2017 A topological transformation group without non-trivial equivariant compactifications. Zbl 1405.54018Pestov, Vladimir G. 2 2017 On topological groups with an approximate fixed point property. Zbl 1373.22034Barroso, Cleon S.; Mbombo, Brice R.; Pestov, Vladimir G. 1 2017 Projectively universal countable metrizable groups. Zbl 1354.22001Pestov, Vladimir G.; Uspenskij, Vladimir V. 1 2016 Isometries of a generalized numerical radius on compact operators. Zbl 06290556Gonçalves, Maria Inez Cardoso; Pestov, Vladimir G. 1 2014 An introduction to hyperlinear and sofic groups. Zbl 1367.20052Pestov, Vladimir G.; Kwiatkowska, Aleksandra 5 2013 Is the \(k\)-NN classifier in high dimensions affected by the curse of dimensionality? Zbl 1362.68248Pestov, Vladimir 4 2013 Indexability, concentration, and VC theory. Zbl 1246.68108Pestov, Vladimir 3 2012 Subgroups of isometries of Urysohn-Katětov metric spaces of uncountable density. Zbl 1251.54034Mbombo, Brice R.; Pestov, Vladimir G. 1 2012 On test spaces for amenability. Zbl 1229.43001Al-Gadid, Yousef; Mbombo, Brice R.; Pestov, Vladimir G. 2 2011 Concentration of measure and whirly actions of Polish groups. Zbl 1213.37011Pestov, Vladimir 4 2010 Fixed point-free isometric actions of topological groups on Banach spaces. Zbl 1207.22002Nguyen, Van Thé Lionel; Pestov, Vladimir G. 1 2010 Hyperlinear and sofic groups: a brief guide. Zbl 1206.20048Pestov, Vladimir G. 72 2008 A theorem of Hrushovski-Solecki-Vershik applied to uniform and coarse embeddings of the Urysohn metric space. Zbl 1152.46062Pestov, Vladimir G. 8 2008 An axiomatic approach to intrinsic dimension of a dataset. Zbl 1254.68102Pestov, Vladimir 7 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 1151.54303Leiderman, A. (ed.); Pestov, V. (ed.); Rubin, M. (ed.); Solecki, S. (ed.); Uspenskiĭ, V. 2 2008 Some extremely amenable groups related to operator algebras and ergodic theory. Zbl 1133.22001Giordano, Thierry; Pestov, Vladimir 33 2007 The isometry group of the Urysohn space as a Lévy group. Zbl 1127.22001Pestov, Vladimir 10 2007 Dynamics of infinite-dimensional groups. The Ramsey-Dvoretzky-Milman phenomenon. Zbl 1123.37003Pestov, Vladimir 72 2006 Representation of residually finite groups by isometries of the Urysohn space. Zbl 1111.43003Pestov, Vladimir G.; Uspenskij, Vladimir V. 5 2006 Indexing schemes for similarity search: an illustrated paradigm. Zbl 1095.68580Pestov, Vladimir; Stojmirović, Aleksandar 5 2006 Fraïssé limits, Ramsey theory, and topological dynamics of automorphism groups. Zbl 1084.54014Kechris, A. S.; Pestov, V. G.; Todorcevic, S. 123 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 1076.37005Pestov, Vladimir 13 2005 A corrigendum to the article: Ramsey-Milman phenomenon, Urysohn metric spaces, and extremely amenable groups. Zbl 1064.43003Pestov, Vladimir 5 2005 Additive models in high dimensions. Zbl 1078.65521Hegland, Markus; Pestov, Vladimir 1 2005 On some questions of Eymard and Bekka concerning amenability of homogeneous spaces and induced representations. Zbl 1092.43003Pestov, Vladimir 9 2003 On a universality property of some abelian Polish groups. Zbl 1057.22003Gao, Su; Pestov, Vladimir 6 2003 Ramsey-Milman phenomenon, Urysohn metric spaces, and extremely amenable groups. Zbl 1007.43001Pestov, Vladimir 28 2002 Some extremely amenable groups. Zbl 0995.43001Giordano, Thierry; Pestov, Vladimir 11 2002 \(mm\)-spaces and group actions. Zbl 1055.28007Pestov, Vladimir 2 2002 Remarks on actions on compacta by some infinite-dimensional groups. Zbl 1018.22016Pestov, Vladimir 1 2002 A note on the precompactness of weakly almost periodic groups. Zbl 1018.43005Megrelishvili, M. G.; Pestov, V. G.; Uspenskij, V. V. 3 2001 On the geometry of similarity search: dimensionality curse and concentration of measure. Zbl 1339.68245Pestov, Vladimir 13 2000 Amenable representations and dynamics of the unit sphere in an infinite-dimensional Hilbert space. Zbl 0976.43001Pestov, V. G. 7 2000 Limit laws for wide varieties of topological groups. II. Zbl 0980.22004Morris, Sidney A.; Nickolas, Peter; Pestov, Vladimir 3 2000 Subgroups of monothetic groups. Zbl 0961.22002Morris, Sidney A.; Pestov, Vladimir 1 2000 Two 1935 questions of Mazur about polynomials in Banach spaces: Counter-examples. Zbl 0981.46020Pestov, Vladimir 1 2000 Topological groups: Where to from here? Zbl 1026.22002Pestov, Vladimir 15 1999 On the structure of DeWitt supermanifolds. Zbl 0931.58005Bruzzo, Ugo; Pestov, Vladimir 8 1999 Free topological groups on metrizable spaces and inductive limits. Zbl 0973.54034Pestov, Vladimir; Yamada, Kohzo 5 1999 On free actions, minimal flows, and a problem by Ellis. Zbl 0911.54034Pestov, Vladimir G. 51 1998 On Lie groups in varieties of topological groups. Zbl 0917.22003Morris, Sidney A.; Pestov, Vladimir 13 1998 Some universal constructions in abstract topological dynamics. Zbl 0891.54018Pestov, V. 8 1998 A topological generalization of the Higman-Neumann-Neumann theorem. Zbl 0907.22003Morris, Sidney A.; Pestov, Vladimir 3 1998 Independence of almost periodicity upon the topology of the acting group. Zbl 0923.54033Pestov, Vladimir 2 1998 Quotient supermanifolds. Zbl 0916.58002Bartocci, Claudio; Bruzzo, Ugo; Hernández Ruipérez, Daniel; Pestov, Vladimir 1 1998 The free abelian topological group and the free locally convex space on the unit interval. Zbl 0907.22002Leiderman, Arkady; Morris, Sidney A.; Pestov, Vladimir 15 1997 On linear continuous open surjections of the spaces \(C_ p(X)\). Zbl 0888.54020Leiderman, A.; Levin, M.; Pestov, V. 7 1997 Uniformities and uniformly continuous functions on locally connected groups. Zbl 0886.22001Megrelishvili, Michael; Nickolas, Peter; Pestov, Vladimir 6 1997 On linear continuous open surjections of the spaces \(C_p(X)\). Zbl 0912.54020Leiderman, A.; Levin, M.; Pestov, V. 1 1997 Epimorphisms of Hausdorff groups by way of topological dynamics. Zbl 0891.22003Pestov, Vladimir 1 1997 Limit laws for wide varieties of topological groups. Zbl 0892.22001Kopperman, Ralph D.; Mislove, Michael W.; Morris, Sidney A.; Nickolas, Peter; Pestov, Vladimir; Svetlichny, Sergey 6 1996 Supermanifold theory: towards a unifying approach. Zbl 0915.58009Bartocci, C.; Bruzzo, U.; Hernández Ruipérez, D.; Pestov, V. 1 1996 Free Abelian topological groups and the Pontryagin-van Kampen duality. Zbl 0841.22001Pestov, Vladimir 20 1995 Correction to “Free Banach-Lie algebras, couniversal Banach-Lie groups, and more”. Zbl 0853.22017Pestov, Vladimir 2 1995 Regular Lie groups and a theorem of Lie-Palais. Zbl 0848.22025Pestov, Vladimir 2 1995 Operator spaces and residually finite-dimensional \(C^*\)-algebras. Zbl 0814.46047Pestov, Vladimir G. 4 1994 Analysis on superspace: An overview. Zbl 0804.58008Pestov, Vladimir G. 2 1994 Small large subgroups of a topological group. Zbl 0891.22001Hofmann, K. H.; Morris, S. A.; Nickolas, P.; Pestov, V. 1 1994 On even collective effects in purely odd superspaces. Zbl 0845.58005Pestov, Vladimir G. 1 1994 Douady’s conjecture on Banach analytic spaces. Zbl 0819.32012Pestov, Vladimir 1 1994 Foundations of supermanifold theory: The axiomatic approach. Zbl 0784.58008Bartocci, C.; Bruzzo, U.; Hernández Ruipérez, D.; Pestov, V. G. 11 1993 Free Banach-Lie algebras, couniversal Banach-Lie groups, and more. Zbl 0785.22025Pestov, Vladimir G. 3 1993 Soul expansion of \(G^ \infty\) superfunctions. Zbl 0807.46042Pestov, Vladimir G. 3 1993 On enlargability of infinite-dimensional Lie superalgebras. Zbl 0771.17024Pestov, Vladimir G. 2 1993 Universal arrows to forgetful functors from categories of topological algebra. Zbl 0784.18002Pestov, Vladimir G. 1 1993 Enlargeable Banach-Lie algebras and free topological groups. Zbl 0785.22024Pestov, Vladimir G. 1 1993 A contribution to nonstandard superanalysis. Zbl 0759.03029Pestov, Vladimir G. 2 1992 General construction of Banach-Grassmann algebras. Zbl 0745.46050Pestov, Vladimir G. 2 1992 Nonstandard hulls of Banach-Lie groups and algebras. Zbl 0876.46037Pestov, Vladimir G. 1 1992 On an axiomatic approach to supermanifolds. Zbl 0801.58001Bartocci, C.; Bruzzo, U.; Pestov, V. G.; Hernández Ruipérez, D. 19 1991 Even sectors of Lie superalgebras as locally convex Lie algebras. Zbl 0693.17015Pestov, Vladimir 8 1991 Ground algebras for superanalysis. Zbl 0681.15014Pestov, Vladimir 5 1991 On the valuation field invented by A. Robinson and certain structures connected with it. Zbl 0663.46083Pestov, Vladimir 3 1991 Nonstandard hulls of normed Grassmann algebras and their applications in superanalysis. Zbl 0778.58009Pestov, V. G. 2 1991 Free topological groups over metrizable spaces. Zbl 0689.54009Arkhangel’skij, A. V.; Okunev, O. G.; Pestov, V. G. 30 1989 On a ‘super’ version of Lie’s third fundamental theorem. Zbl 0692.22010Pestov, Vladimir 5 1989 Interpreting superanalyticity in terms of convergent series. Zbl 0676.58015Pestov, V. 5 1989 A balance test for locally compact groups. Zbl 0663.22004Pestov, V. G. 10 1988 A balance criterion for locally compact groups. Zbl 0648.22003Pestov, V. G. 3 1988 On unconditionally closed sets and a certain conjecture of A. A. Markov. Zbl 0666.22001Pestov, V. G. 2 1988 Fermeture non standard des groupes et algèbres de Lie banachiques. (Non-standard hulls of Banach-Lie groups and algebras). Zbl 0663.22012Pestov, Vladimir 2 1988 Thin sets in topological groups and a new precompactness criterion. Zbl 0653.22001Pestov, V. G. 2 1987 Homomorphisms of topological groups not factorized with respect to weight and dimension. Zbl 0621.22001Pestov, V. G. 1 1987 Free Banach spaces and representations of topological groups. Zbl 0635.22005Pestov, V. G. 10 1986 Free abelian topological groups and Pontryagin duality. Zbl 0599.22003Pestov, V. G. 5 1986 Compactly generated topological groups. Zbl 0623.22003Pestov, V. G. 3 1986 On compactly generated topological groups. Zbl 0617.22001Pestov, V. G. 1 1986 The continuous homomorphic maps of the groups with countable base do not exhaust all groups with countable network. Zbl 0598.22004Pestov, V. G.; Shakhmatov, D. B. 1 1986 The neighbourhoods of identity in free topological groups. Zbl 0576.22001Pestov, V. G. 11 1985 Neighborhoods of unity in free topological groups. Zbl 0592.22002Pestov, V. G. 3 1985 An example of a nonmetrizable minimal topological group whose identity is of type \(G_{\delta}\). Zbl 0595.22004Pestov, V. G. 1 1985 Some topological properties preserved by the relation of M-equivalence. Zbl 0587.54017Pestov, V. G. 3 1984 A construction of Mishchenko in the theory of homogeneous spaces. Zbl 0571.54012Okromeshko, N. G.; Pestov, V. G. 1 1984 Relations between classes of almost metrizable, projectively metrizable and \(\aleph _ 0\)-representable topological groups. Zbl 0571.22001Pestov, V. G. 2 1983 The coincidence of the dimensions dim of l-equivalent topological spaces. Zbl 0518.54030Pestov, V. G. 17 1982 Some properties of free topological groups. Zbl 0499.22001Pestov, V. G. 14 1982 Embeddings and contractions of topological groups. Zbl 0507.22001Pestov, V. G. 6 1982 all cited Publications top 5 cited Publications all top 5 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 all top 5 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) Citations by Year