Compute Distance To:
 Documents Indexed: 124 Publications since 1982, including 2 Books 2 Contributions as Editor · 1 Further Contribution Reviewing Activity: 144 Reviews Co-Authors: 38 Co-Authors with 46 Joint Publications 925 Co-Co-Authors
all top 5

### Co-Authors

 80 single-authored 8 Morris, Sidney A. 6 Bruzzo, Ugo 5 Leiderman, Arkady G. 5 Uspenskiĭ, Vladimir Vladimirovich 4 Bartocci, Claudio 4 Hernández Ruipérez, Daniel 4 Nickolas, Peter 3 Mbombo, Brice R. 3 Shakhmatov, Dmitri B. 2 Giordano, Thierry 2 Kechris, Alexander S. 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 Capraro, Valerio 1 Cardoso Gonçalves, Maria Inez 1 Collins, Benoît 1 Gao, Su 1 Hegland, Markus 1 Hofmann, Karl Heinrich 1 Kopperman, Ralph David 1 Kumari, Sushma 1 Kwiatkowska, Aleksandra 1 Ludwig, Monika 1 Lupini, Martino 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 3 Colloquium Mathematicum 2 Houston Journal of Mathematics 2 Matematicheskie Zametki 2 Ukrainian Mathematical Journal 2 Journal of Geometry and Physics 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 Lie Theory 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 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 Lecture Notes in Mathematics 1 University Lecture Series 1 Publicações Matemáticas do IMPA
all top 5

### Fields

 71 Topological groups, Lie groups (22-XX) 51 General topology (54-XX) 28 Functional analysis (46-XX) 25 Abstract harmonic analysis (43-XX) 21 Global analysis, analysis on manifolds (58-XX) 14 Nonassociative rings and algebras (17-XX) 11 Mathematical logic and foundations (03-XX) 11 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) 5 Category theory; homological algebra (18-XX) 4 Combinatorics (05-XX) 4 Associative rings and algebras (16-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

102 Publications have been cited 958 times in 608 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
2008
Dynamics of infinite-dimensional groups. The Ramsey-Dvoretzky-Milman phenomenon. Zbl 1123.37003
2006
On free actions, minimal flows, and a problem by Ellis. Zbl 0911.54034
1998
Some extremely amenable groups related to operator algebras and ergodic theory. Zbl 1133.22001
2007
Introduction to sofic and hyperlinear groups and Connes’ embedding conjecture. With an appendix by Vladimir Pestov. Zbl 1383.20002
Capraro, Valerio; Lupini, Martino
2015
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
2002
On an axiomatic approach to supermanifolds. Zbl 0801.58001
Bartocci, C.; Bruzzo, U.; Pestov, V. G.; Hernández Ruipérez, D.
1991
Free Abelian topological groups and the Pontryagin-van Kampen duality. Zbl 0841.22001
1995
The coincidence of the dimensions dim of l-equivalent topological spaces. Zbl 0518.54030
Pestov, V. G.
1982
On the geometry of similarity search: dimensionality curse and concentration of measure. Zbl 1339.68245
2000
Topological groups: Where to from here? Zbl 1026.22002
1999
The free abelian topological group and the free locally convex space on the unit interval. Zbl 0907.22002
1997
Some properties of free topological groups. Zbl 0499.22001
Pestov, V. G.
1982
On Lie groups in varieties of topological groups. Zbl 0917.22003
1998
The isometry group of the Urysohn space as a Lévy group. Zbl 1127.22001
2007
On topological groups admitting a base at the identity indexed by $$\omega ^{\omega}$$. Zbl 1382.22002
2017
Free Banach spaces and representations of topological groups. Zbl 0635.22005
Pestov, V. G.
1986
Foundations of supermanifold theory: The axiomatic approach. Zbl 0784.58008
Bartocci, C.; Bruzzo, U.; Hernández Ruipérez, D.; Pestov, V. G.
1993
Some extremely amenable groups. Zbl 0995.43001
2002
The neighbourhoods of identity in free topological groups. Zbl 0576.22001
Pestov, V. G.
1985
On some questions of Eymard and Bekka concerning amenability of homogeneous spaces and induced representations. Zbl 1092.43003
2003
A balance test for locally compact groups. Zbl 0663.22004
Pestov, V. G.
1988
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
2005
On the structure of DeWitt supermanifolds. Zbl 0931.58005
1999
On linear continuous open surjections of the spaces $$C_ p(X)$$. Zbl 0888.54020
Leiderman, A.; Levin, M.; Pestov, V.
1997
Some universal constructions in abstract topological dynamics. Zbl 0891.54018
Pestov, V.
1998
A theorem of Hrushovski-Solecki-Vershik applied to uniform and coarse embeddings of the Urysohn metric space. Zbl 1152.46062
2008
An axiomatic approach to intrinsic dimension of a dataset. Zbl 1254.68102
2008
Even sectors of Lie superalgebras as locally convex Lie algebras. Zbl 0693.17015
1991
Amenable representations and dynamics of the unit sphere in an infinite-dimensional Hilbert space. Zbl 0976.43001
Pestov, V. G.
2000
On amenability and groups of measurable maps. Zbl 1412.43002
Pestov, Vladimir G.; Schneider, Friedrich Martin
2017
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
Concentration of measure and whirly actions of Polish groups. Zbl 1213.37011
2010
Uniformities and uniformly continuous functions on locally connected groups. Zbl 0886.22001
Megrelishvili, Michael; Nickolas, Peter; Pestov, Vladimir
1997
On a universality property of some abelian Polish groups. Zbl 1057.22003
2003
Amenability versus property $$(T)$$ for non-locally compact topological groups. Zbl 1394.22006
2018
Operator spaces and residually finite-dimensional $$C^*$$-algebras. Zbl 0814.46047
1994
Free topological groups on metrizable spaces and inductive limits. Zbl 0973.54034
1999
Representation of residually finite groups by isometries of the Urysohn space. Zbl 1111.43003
2006
Ground algebras for superanalysis. Zbl 0681.15014
1991
Indexing schemes for similarity search: an illustrated paradigm. Zbl 1095.68580
2006
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
A corrigendum to the article: Ramsey-Milman phenomenon, Urysohn metric spaces, and extremely amenable groups. Zbl 1064.43003
2005
An introduction to hyperlinear and sofic groups. Zbl 1367.20052
2013
Free Banach-Lie algebras, couniversal Banach-Lie groups, and more. Zbl 0785.22025
1993
Is the $$k$$-NN classifier in high dimensions affected by the curse of dimensionality? Zbl 1362.68248
2013
On a ‘super’ version of Lie’s third fundamental theorem. Zbl 0692.22010
1989
Neighborhoods of unity in free topological groups. Zbl 0592.22002
Pestov, V. G.
1985
Embeddings and contractions of topological groups. Zbl 0507.22001
Pestov, V. G.
1982
Indexability, concentration, and VC theory. Zbl 1246.68108
2012
Soul expansion of $$G^ \infty$$ superfunctions. Zbl 0807.46042
1993
Analysis on superspace: An overview. Zbl 0804.58008
1994
A note on the precompactness of weakly almost periodic groups. Zbl 1018.43005
Megrelishvili, M. G.; Pestov, V. G.; Uspenskij, V. V.
2001
General construction of Banach-Grassmann algebras. Zbl 0745.46050
1992
A topological generalization of the Higman-Neumann-Neumann theorem. Zbl 0907.22003
1998
Some topological properties preserved by the relation of M-equivalence. Zbl 0587.54017
Pestov, V. G.
1984
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
Limit laws for wide varieties of topological groups. II. Zbl 0980.22004
Morris, Sidney A.; Nickolas, Peter; Pestov, Vladimir
2000
On the valuation field invented by A. Robinson and certain structures connected with it. Zbl 0663.46083
1991
Universal arrows to forgetful functors from categories of topological algebra. Zbl 0784.18002
1993
On enlargability of infinite-dimensional Lie superalgebras. Zbl 0771.17024
1993
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
Uspenskiĭ, V.
2008
Nonstandard hulls of normed Grassmann algebras and their applications in superanalysis. Zbl 0778.58009
Pestov, V. G.
1991
A contribution to nonstandard superanalysis. Zbl 0759.03029
1992
On test spaces for amenability. (Sur les espaces test pour la moyennabilité.) Zbl 1229.43001
2011
Regular Lie groups and a theorem of Lie-Palais. Zbl 0848.22025
1995
Correction to “Free Banach-Lie algebras, couniversal Banach-Lie groups, and more”. Zbl 0853.22017
1995
Independence of almost periodicity upon the topology of the acting group. Zbl 0923.54033
1998
Epimorphisms of Hausdorff groups by way of topological dynamics. Zbl 0891.22003
1997
On unconditionally closed sets and a certain conjecture of A. A. Markov. Zbl 0666.22001
Pestov, V. G.
1988
Relations between classes of almost metrizable, projectively metrizable and $$\aleph _ 0$$-representable topological groups. Zbl 0571.22001
Pestov, V. G.
1983
$$mm$$-spaces and group actions. Zbl 1055.28007
2002
Thin sets in topological groups and a new precompactness criterion. Zbl 0653.22001
Pestov, V. G.
1987
Fermeture non standard des groupes et algèbres de Lie banachiques. (Non-standard hulls of Banach-Lie groups and algebras). Zbl 0663.22012
1988
A topological transformation group without non-trivial equivariant compactifications. Zbl 1405.54018
2017
Enlargeable Banach-Lie algebras and free topological groups. Zbl 0785.22024
1993
Douady’s conjecture on Banach analytic spaces. Zbl 0819.32012
1994
Two 1935 questions of Mazur about polynomials in Banach spaces: Counter-examples. Zbl 0981.46020
2000
Subgroups of monothetic groups. Zbl 0961.22002
2000
Additive models in high dimensions. Zbl 1078.65521
2005
Remarks on actions on compacta by some infinite-dimensional groups. Zbl 1018.22016
2002
On even collective effects in purely odd superspaces. Zbl 0845.58005
1994
Supermanifold theory: towards a unifying approach. Zbl 0915.58009
Bartocci, C.; Bruzzo, U.; Hernández Ruipérez, D.; Pestov, V.
1996
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
Nonstandard hulls of Banach-Lie groups and algebras. Zbl 0876.46037
1992
Small large subgroups of a topological group. Zbl 0891.22001
Hofmann, K. H.; Morris, S. A.; Nickolas, P.; Pestov, V.
1994
Universal consistency of the $$k$$-NN rule in metric spaces and Nagata dimension. Zbl 1455.62123
Collins, Benoît; Kumari, Sushma; Pestov, Vladimir G.
2020
A construction of Mishchenko in the theory of homogeneous spaces. Zbl 0571.54012
Okromeshko, N. G.; Pestov, V. G.
1984
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
Fixed point-free isometric actions of topological groups on Banach spaces. Zbl 1207.22002
Nguyen, Van Thé Lionel; Pestov, Vladimir G.
2010
On compactly generated topological groups. Zbl 0617.22001
Pestov, V. G.
1986
Homomorphisms of topological groups not factorized with respect to weight and dimension. Zbl 0621.22001
Pestov, V. G.
1987
Asymptotic geometric analysis. Proceedings of the fall 2010 Fields Institute thematic program. Zbl 1262.00011
2013
Subgroups of isometries of Urysohn-Katětov metric spaces of uncountable density. Zbl 1251.54034
Mbombo, Brice R.; Pestov, Vladimir G.
2012
Projectively universal countable metrizable groups. Zbl 1354.22001
2016
Universal consistency of the $$k$$-NN rule in metric spaces and Nagata dimension. Zbl 1455.62123
Collins, Benoît; Kumari, Sushma; Pestov, Vladimir G.
2020
Amenability versus property $$(T)$$ for non-locally compact topological groups. Zbl 1394.22006
2018
On topological groups admitting a base at the identity indexed by $$\omega ^{\omega}$$. Zbl 1382.22002
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
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
2016
Introduction to sofic and hyperlinear groups and Connes’ embedding conjecture. With an appendix by Vladimir Pestov. Zbl 1383.20002
Capraro, Valerio; Lupini, Martino
2015
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
2013
Is the $$k$$-NN classifier in high dimensions affected by the curse of dimensionality? Zbl 1362.68248
2013
Asymptotic geometric analysis. Proceedings of the fall 2010 Fields Institute thematic program. Zbl 1262.00011
2013
Indexability, concentration, and VC theory. Zbl 1246.68108
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. (Sur les espaces test pour la moyennabilité.) Zbl 1229.43001
2011
Concentration of measure and whirly actions of Polish groups. Zbl 1213.37011
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
2008
A theorem of Hrushovski-Solecki-Vershik applied to uniform and coarse embeddings of the Urysohn metric space. Zbl 1152.46062
2008
An axiomatic approach to intrinsic dimension of a dataset. Zbl 1254.68102
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
Uspenskiĭ, V.
2008
Some extremely amenable groups related to operator algebras and ergodic theory. Zbl 1133.22001
2007
The isometry group of the Urysohn space as a Lévy group. Zbl 1127.22001
2007
Dynamics of infinite-dimensional groups. The Ramsey-Dvoretzky-Milman phenomenon. Zbl 1123.37003
2006
Representation of residually finite groups by isometries of the Urysohn space. Zbl 1111.43003
2006
Indexing schemes for similarity search: an illustrated paradigm. Zbl 1095.68580
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
2005
A corrigendum to the article: Ramsey-Milman phenomenon, Urysohn metric spaces, and extremely amenable groups. Zbl 1064.43003
2005
Additive models in high dimensions. Zbl 1078.65521
2005
On some questions of Eymard and Bekka concerning amenability of homogeneous spaces and induced representations. Zbl 1092.43003
2003
On a universality property of some abelian Polish groups. Zbl 1057.22003
2003
Ramsey-Milman phenomenon, Urysohn metric spaces, and extremely amenable groups. Zbl 1007.43001
2002
Some extremely amenable groups. Zbl 0995.43001
2002
$$mm$$-spaces and group actions. Zbl 1055.28007
2002
Remarks on actions on compacta by some infinite-dimensional groups. Zbl 1018.22016
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
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
Two 1935 questions of Mazur about polynomials in Banach spaces: Counter-examples. Zbl 0981.46020
2000
Subgroups of monothetic groups. Zbl 0961.22002
2000
Topological groups: Where to from here? Zbl 1026.22002
1999
On the structure of DeWitt supermanifolds. Zbl 0931.58005
1999
Free topological groups on metrizable spaces and inductive limits. Zbl 0973.54034
1999
On free actions, minimal flows, and a problem by Ellis. Zbl 0911.54034
1998
On Lie groups in varieties of topological groups. Zbl 0917.22003
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
1998
Independence of almost periodicity upon the topology of the acting group. Zbl 0923.54033
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
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
Epimorphisms of Hausdorff groups by way of topological dynamics. Zbl 0891.22003
1997
On linear continuous open surjections of the spaces $$C_p(X)$$. Zbl 0912.54020
Leiderman, A.; Levin, M.; Pestov, V.
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
1995
Regular Lie groups and a theorem of Lie-Palais. Zbl 0848.22025
1995
Correction to “Free Banach-Lie algebras, couniversal Banach-Lie groups, and more”. Zbl 0853.22017
1995
Operator spaces and residually finite-dimensional $$C^*$$-algebras. Zbl 0814.46047
1994
Analysis on superspace: An overview. Zbl 0804.58008
1994
Douady’s conjecture on Banach analytic spaces. Zbl 0819.32012
1994
On even collective effects in purely odd superspaces. Zbl 0845.58005
1994
Small large subgroups of a topological group. Zbl 0891.22001
Hofmann, K. H.; Morris, S. A.; Nickolas, P.; Pestov, V.
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
1993
Soul expansion of $$G^ \infty$$ superfunctions. Zbl 0807.46042
1993
Universal arrows to forgetful functors from categories of topological algebra. Zbl 0784.18002
1993
On enlargability of infinite-dimensional Lie superalgebras. Zbl 0771.17024
1993
Enlargeable Banach-Lie algebras and free topological groups. Zbl 0785.22024
1993
General construction of Banach-Grassmann algebras. Zbl 0745.46050
1992
A contribution to nonstandard superanalysis. Zbl 0759.03029
1992
Nonstandard hulls of Banach-Lie groups and algebras. Zbl 0876.46037
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
1991
Ground algebras for superanalysis. Zbl 0681.15014
1991
On the valuation field invented by A. Robinson and certain structures connected with it. Zbl 0663.46083
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&rsquo;skij, A. V.; Okunev, O. G.; Pestov, V. G.
1989
Interpreting superanalyticity in terms of convergent series. Zbl 0676.58015
Pestov, V.
1989
On a ‘super’ version of Lie’s third fundamental theorem. Zbl 0692.22010
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
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
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
On compactly generated topological groups. Zbl 0617.22001
Pestov, V. G.
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
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
...and 2 more Documents
all top 5

### Cited by 556 Authors

 35 Pestov, Vladimir G. 18 Tkachenko, Mikhail Gelievich 15 Dikranjan, Dikran N. 15 Nešetřil, Jaroslav 14 Lin, Fucai 13 Liu, Chuan 12 Lin, Shou 11 Glasner, Eli 11 Hubička, Jan 11 Mašulović, Dragan 11 Solecki, Sławomir 10 Megrelishvili, Michael G. 10 Sokić, Miodrag 9 Doucha, Michal 9 Leiderman, Arkady G. 9 Lupini, Martino 9 Nguyen Van Thé, Lionel 9 Schneider, Friedrich Martin 8 Bruzzo, Ugo 8 Gabriyelyan, Saak S. 8 Le Maître, François 8 Thom, Andreas Berthold 8 Tsankov, Todor 7 Bowen, Lewis Phylip 7 Morris, Sidney A. 7 Troallic, Jean-Pierre 7 Uspenskiĭ, Vladimir Vladimirovich 7 Zucker, Andy 6 Bodirsky, Manuel 6 Kwiatkowska, Aleksandra 6 Lopez-Abad, Jordi 6 Mbombo, Brice R. 6 Melleray, Julien 6 Shakhmatov, Dmitri B. 6 Todorcevic, Stevo B. 6 Yamada, Kohzo 5 Arkhangel’skiĭ, Aleksandr Vladimirovich 5 Außenhofer, Lydia 5 Bartošová, Dana 5 Farah, Ilijas 5 Feng, Ziqin 5 Kechris, Alexander S. 5 Lau, Anthony To-Ming 5 Sauer, Norbert W. 5 Shlossberg, Menachem 4 Chasco, María Jesús 4 Elek, Gábor 4 Glebsky, Lev Yu. 4 Guingona, Vincent 4 Hart, Bradd T. 4 Hill, Cameron Donnay 4 Kąkol, Jerzy 4 Malicki, Maciej 4 Monod, Nicolas 4 Păunescu, Liviu 4 Pinsker, Michael 4 Sardanashvily, Gennadi A. 4 Scow, Lynn 4 Shelah, Saharon 3 Aranda, Andrés 3 Arzhantseva, Goulnara N. 3 Banakh, Taras Onufrievich 3 Ben-Yaacov, Itaï 3 Bruguera, Montserrat 3 Cai, Zhangyong Cai 3 Carderi, Alessandro 3 Choban, Mitrofan Mihailovich 3 Dobrinen, Natasha L. 3 Domínguez, Xabier 3 Galindo, Jorge 3 Gorban, Alexander N. 3 Hansel, Georges 3 Hayes, Ben 3 Hernández, Salvador 3 Ibarlucía, Tomás 3 Kompatscher, Michael 3 Konečný, Matěj 3 Kubiś, Wiesław 3 Laflamme, Claude 3 Li, Hanfeng 3 Macpherson, Dugald 3 Mottet, Antoine 3 Neeb, Karl-Hermann 3 Neufang, Matthias 3 Pachl, Jan K. 3 Pawliuk, Micheal 3 Poncin, Norbert 3 Rosendal, Christian 3 Sabok, Marcin 3 Shtern, Aleksandr Isaakovich 3 Thomas, Simon R. 3 Tucker-Drob, Robin D. 3 Weiss, Benjamin 3 Xi, Wenfei 3 Xie, Lihong 2 Ando, Hiroshi 2 Azizpour, Esmaeil 2 Bartocci, Claudio 2 Beltiţă, Daniel 2 Berlai, Federico ...and 456 more Authors
all top 5

### Cited in 164 Serials

 109 Topology and its Applications 24 Transactions of the American Mathematical Society 22 Journal of Functional Analysis 20 Israel Journal of Mathematics 18 Advances in Mathematics 18 Proceedings of the American Mathematical Society 17 Ergodic Theory and Dynamical Systems 16 Journal of Mathematical Analysis and Applications 10 Journal of Geometry and Physics 10 Annals of Pure and Applied Logic 9 Bulletin of the Australian Mathematical Society 8 Fundamenta Mathematicae 8 European Journal of Combinatorics 7 Discrete Mathematics 7 Annales de l’Institut Fourier 7 Journal of Algebra 7 The Journal of Symbolic Logic 7 Forum Mathematicum 6 Journal of Mathematical Physics 6 Mathematical Notes 6 Journal of Combinatorial Theory. Series A 6 Order 5 Bulletin of the London Mathematical Society 5 Journal of Pure and Applied Algebra 5 Siberian Mathematical Journal 5 Differential Geometry and its Applications 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Groups, Geometry, and Dynamics 4 Journal d’Analyse Mathématique 4 Inventiones Mathematicae 4 Monatshefte für Mathematik 4 Archive for Mathematical Logic 4 Journal of Group Theory 4 Journal of Mathematical Logic 4 Contributions to Discrete Mathematics 4 Forum of Mathematics, Sigma 4 Axioms 3 Information Processing Letters 3 Nuclear Physics. B 3 Reports on Mathematical Physics 3 Commentarii Mathematici Helvetici 3 Mathematische Annalen 3 Mathematische Zeitschrift 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Combinatorica 3 Geometric and Functional Analysis. GAFA 3 Indagationes Mathematicae. New Series 3 Journal of Mathematical Sciences (New York) 3 Mathematical Logic Quarterly (MLQ) 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Computers & Mathematics with Applications 2 Studia Mathematica 2 Archiv der Mathematik 2 Duke Mathematical Journal 2 Information Sciences 2 Journal of Combinatorial Theory. Series B 2 Mathematica Slovaca 2 Mathematika 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Results in Mathematics 2 Semigroup Forum 2 SIAM Journal on Computing 2 Tôhoku Mathematical Journal. Second Series 2 Expositiones Mathematicae 2 Applied Categorical Structures 2 The Electronic Journal of Combinatorics 2 The Bulletin of Symbolic Logic 2 Journal of the European Mathematical Society (JEMS) 2 Journal of Machine Learning Research (JMLR) 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 Forum of Mathematics, Pi 2 Journal of Mathematics 2 Journal de l’École Polytechnique – Mathématiques 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 Theoretical and Mathematical Physics 1 Ukrainian Mathematical Journal 1 Algebra Universalis 1 Anais da Academia Brasileira de Ciências 1 Canadian Mathematical Bulletin 1 Colloquium Mathematicum 1 Compositio Mathematica 1 Dissertationes Mathematicae 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 ...and 64 more Serials
all top 5

### Cited in 49 Fields

 239 General topology (54-XX) 217 Topological groups, Lie groups (22-XX) 133 Mathematical logic and foundations (03-XX) 117 Functional analysis (46-XX) 98 Combinatorics (05-XX) 98 Dynamical systems and ergodic theory (37-XX) 92 Group theory and generalizations (20-XX) 72 Abstract harmonic analysis (43-XX) 37 Global analysis, analysis on manifolds (58-XX) 25 Computer science (68-XX) 23 Order, lattices, ordered algebraic structures (06-XX) 22 Operator theory (47-XX) 21 Differential geometry (53-XX) 20 Measure and integration (28-XX) 17 Quantum theory (81-XX) 15 Nonassociative rings and algebras (17-XX) 15 Category theory; homological algebra (18-XX) 15 Manifolds and cell complexes (57-XX) 14 Statistics (62-XX) 13 Probability theory and stochastic processes (60-XX) 12 Associative rings and algebras (16-XX) 9 General and overarching topics; collections (00-XX) 9 General algebraic systems (08-XX) 9 Geometry (51-XX) 8 Real functions (26-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Algebraic topology (55-XX) 5 Algebraic geometry (14-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 3 Field theory and polynomials (12-XX) 3 Functions of a complex variable (30-XX) 2 Number theory (11-XX) 2 Ordinary differential equations (34-XX) 2 Numerical analysis (65-XX) 2 Mechanics of particles and systems (70-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Relativity and gravitational theory (83-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 $$K$$-theory (19-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-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)