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J-GLOBAL ID：200901000903445155
Update date: Aug. 25, 2024
Shakhmatov Dmitri
シャクマトフ ディミトリ | Shakhmatov Dmitri
Affiliation and department：
Job title：
Professor
Homepage URL (1)：
http://www.math.sci.ehime-u.ac.jp/~dima/
Research field (1)：
Geometry
Research keywords (2)：
topological group
, topology
Research theme for competitive and other funds (14)：
- 2020 - 2025 Topological groups with fixed point on compacta property and potentially dense subsets of groups
- 2014 - 2018 Structure of compact-like abelian groups and realization of Markov density by a group topology
- 2010 - 2014 Interplay between algebraic and topological closure operators, and existence of compact-like group topologies on abelian groups
- 2010 - 2012 Classification of Higher dimensional Erdos spaces by singular selectors
- 2007 - 2009 Study of the structure of the Markov-Zariski topology of a group and convergence properties of compact-like topological groups
- 2007 - 2009 Construction of higher dimensional Erdos-type spaces with selectors and study of topological structure of hyperspaces
- 2003 - 2005 Algebraic structure of compact-like topological groups and convergence properties
- 2003 - 2005 Research on "Classification of filters and subsets of reals with respect to selector, and convergence properties of hyperspacea"
- 2002 - 2003 Research of dimension and topological structures of topological groups
- 2000 - 2001 Research of topological and geometric structures of topological groups
- 2000 - 2001 Symmetric spaces and integrable systems
- 2000 - 2001 A study of continuous selections for filter spaces
- 1999 - 2001 Cohomology theory of finite groups
- 1998 - 1999 Hadamard matrices : construction by groups and examples by computer
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Papers (97)：
MISC (14)：
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Sergio Ardanza-Trevijano, Maria Jesus Chasco, Karl H. Hofmann, Elena Martin-Peinador, Dmitri Shakhmatov. Special Issue: Algebra meets Topology Special Issue on Dikran Dikranjan's 60th Birthday Preface. TOPOLOGY AND ITS APPLICATIONS. 2012. 159. 9. 2233-2234
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Convergent sequences in minimal groups. Topology and its Applications. 2011. to appear
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Convergent sequences in minimal groups. Topology and its Applications. 2011. to appear
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Consonant (splittable) spaces. North-Holland, AmsterdamEncyclopedia of General Topology (K.P. Hart, J. Nagata, J.E. Vaughan, Eds.). 2004. 53-55
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Topological rings, division rings, fields and lattices. North-Holland, AmsterdamEncyclopedia of General Topology (K.P. Hart, J. Nagata, J.E. Vaughan, Eds.). 2004. 365-371
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Books (1)：
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Algebraic structure of Pseudocompact groups
American Mathematical SocietyMemoucs of the American Mathemational Society 1998
Lectures and oral presentations (18)：
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Zariski and (precompact) Markov topologies in free groups and their subgroups
(International conference "Algebra, Topology and Their Interactions" (Udine University, Italy) 2022)
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On Markov's problem for free groups
(General Topology Symposium 2021 (Takasaki City University of Economics, Takasaki, Japan) 2021)
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Unconditionally closed subsets of free (non-commutative) groups
(International Conference on Topology and its Applications dedicated to the 100th anniversary of the birthday of Yu. M. Smirnov (Moscow State University, Russia) 2021)
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Subgroups of general linear groups as automorphism groups of dense subgroups of Euclidean groups
(2019)
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Automorphism groups of dense subgroups of R^n
(Modern Problems of Geomerty and Topology and their Applications (Tashkent, National University of Uzbekistan, Uzbekistan) 2019)
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Education (4)：
- - 1986 モスクワ国立大学,力学・数学学部大学院 数理科学研究科 数学
- - 1986 Moscow State University Graduate School, Division of Mathematical Sciences
- - 1983 モスクワ国立大学 力学・数学学部
- - 1983 Moscow State University
Professional career (1)：
Association Membership(s) (1)：
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