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J-GLOBAL ID:200901000903445155   Update date: Feb. 01, 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
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Papers (96):
MISC (14):
  • 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
  • Convergent sequences in minimal groups. Topology and its Applications. 2011. to appear
  • Convergent sequences in minimal groups. Topology and its Applications. 2011. to appear
  • Consonant (splittable) spaces. North-Holland, AmsterdamEncyclopedia of General Topology (K.P. Hart, J. Nagata, J.E. Vaughan, Eds.). 2004. 53-55
  • 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
more...
Books (1):
  • Algebraic structure of Pseudocompact groups
    American Mathematical SocietyMemoucs of the American Mathemational Society 1998
Lectures and oral presentations  (18):
  • Zariski and (precompact) Markov topologies in free groups and their subgroups
    (International conference "Algebra, Topology and Their Interactions" (Udine University, Italy) 2022)
  • On Markov's problem for free groups
    (General Topology Symposium 2021 (Takasaki City University of Economics, Takasaki, Japan) 2021)
  • 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)
  • Subgroups of general linear groups as automorphism groups of dense subgroups of Euclidean groups
    (2019)
  • Automorphism groups of dense subgroups of R^n
    (Modern Problems of Geomerty and Topology and their Applications (Tashkent, National University of Uzbekistan, Uzbekistan) 2019)
more...
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):
  • Ph. D.
Association Membership(s) (1):
日本数理科学協会(JAMS)
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