Dmitri Shakhmatov

Profile Information

Affiliation: Professor, Graduate School of Science and Engineering, Mathematics, Physics, and Earth Sciences, Graduate School of Science and Engineering Mathematics,Physics, and Earth Sciences, Ehime University

Degree: Ph. D.

J-GLOBAL ID: 200901000903445155
researchmap Member ID: 1000164136

External link: http://www.math.sci.ehime-u.ac.jp/~dima/

Research Interests

Research Areas

Natural sciences / Geometry /

Education

Papers

On subsets of R^n spanning it via positive integers as multipliers

Vitalij A. Chatyrko, Dimitri B. Shakhmatov

Topology and its Applications, 301(107497) 1-14, Sep 1, 2021 Peer-reviewed
Compactness properties defined by open-point games

A. Dorantes-Aldama, D. Shakhmatov

Topology and its Applications, 284(107196) 1-21, Oct 1, 2020 Peer-reviewed
Topological groups all continuous automorphisms of which are open

Vitalij A. Chatyrko, Dmitri B. Shakhmatov

Topology and its Applications, 275(107051) 1-18, Apr 15, 2020 Peer-reviewed
Automorphism groups of dense subgroups of R^n

Vitalij Chatyrko, Dmitri Shakhmatov

Topology and its Applications, 275(107000) 1-19, Apr 15, 2020 Peer-reviewed
Cardinal invariants and convergence properties of locally minimal groups

Dikran Dikranjan, Dmitri Shakhmatov

Topology and its Applications, 272(106984) 1-24, Mar 1, 2020 Peer-reviewed
Countably compact groups and sequential order

Dmitri Shakhmatov, Alexander Shibakov

Topology and its Applications, 270(106943) 1-33, Feb 1, 2020 Peer-reviewed
The impact of the Bohr topology on selective pseudocompactness

Dmitri Shakhmatov, Víctor Hugo Yañez

Topology and its Applications, 264 498-506, Sep 1, 2019 Peer-reviewed
SSGP topologies on free groups of infinite rank

Dmitri Shakhmatov, Víctor Hugo Yañez

Topology and its Applications, 259 384-410, Jun 1, 2019 Peer-reviewedInvited
SSGP topologies on abelian groups of positive finite divisible rank

Dmitri Shakhmatov, Víctor Hugo Yañez

Fundamenta Mathematicae, 244(2) 125-145, 2019 Peer-reviewed
Selectively pseudocompact groups without infinite separable pseudocompact subsets

Dmitri Shakhmatov, Víctor Hugo Yañez

Axioms, 7(4) 1-23, Nov 16, 2018 Peer-reviewedInvited
Linear extension operators of bounded norms

Dmitri Shakhmatov, Vesko Valov, Takamitsu Yamauchi

Journal of Mathematical Analysis and Applications, 466(1) 952-960, Oct 1, 2018 Peer-reviewed
Characterizing Lie groups by controlling their zero-dimensional subgroups

Dikran Dikranjan, Dmitri Shakhmatov

Forum Mathematicum, 30(2) 295-320, Mar 1, 2018 Peer-reviewed
The existence of continuous weak selections and orderability-type properties in products and filter spaces

Koichi Motooka, Dmitri Shakhmatov, Takamitsu Yamauchi

TOPOLOGY AND ITS APPLICATIONS, 232 45-60, Dec, 2017 Peer-reviewed
Selectively sequentially pseudocompact group topologies on torsion and torsion-free Abelian groups

Alejandro Dorantes-Aldama, Dmitri Shakhmatov

TOPOLOGY AND ITS APPLICATIONS, 230 562-577, Oct, 2017 Peer-reviewed
Subgroups of direct products closely approximated by direct sums

Maria Ferrer, Salvador Hernandez, Dmitri Shakhmatov

FORUM MATHEMATICUM, 29(5) 1125-1144, Sep, 2017 Peer-reviewed
A COUNTABLE FREE CLOSED NON-REFLEXIVE SUBGROUP OF Z(c)

Maria Vicenta Ferrer, Salvador Hernandez, Dmitri Shakhmatov

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 145(8) 3599-3605, Aug, 2017 Peer-reviewed
Completeness and compactness properties in metric spaces, topological groups and function spaces

Alejandro Dorantes-Aldama, Dmitri Shakhmatov

TOPOLOGY AND ITS APPLICATIONS, 226 134-164, Aug, 2017 Peer-reviewed
Selective sequential pseudocompactness

Alejandro Dorantes-Aldama, Dmitri Shakhmatov

TOPOLOGY AND ITS APPLICATIONS, 222 53-69, May, 2017 Peer-reviewed
Direct sums and products in topological groups and vector spaces

Dikran Dikranjan, Dmitri Shakhmatov, Jan Spevak

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 437(2) 1257-1282, May, 2016 Peer-reviewed
Topological groups with many small subgroups

Dikran Dikranjan, Dmitri Shakhmatov

TOPOLOGY AND ITS APPLICATIONS, 200 101-132, Mar, 2016 Peer-reviewed

Misc.

Special Issue: Algebra meets Topology Special Issue on Dikran Dikranjan's 60th Birthday Preface

Sergio Ardanza-Trevijano, Maria Jesus Chasco, Karl H. Hofmann, Elena Martin-Peinador, Dmitri Shakhmatov

TOPOLOGY AND ITS APPLICATIONS, 159(9) 2233-2234, Jun, 2012
Convergent sequences in minimal groups

Topology and its Applications, to appear, 2011
Convergent sequences in minimal groups

Topology and its Applications, to appear, 2011
Consonant (splittable) spaces

North-Holland, AmsterdamEncyclopedia of General Topology (K.P. Hart, J. Nagata, J.E. Vaughan, Eds.), 53-55, 2004
Topological rings, division rings, fields and lattices

North-Holland, AmsterdamEncyclopedia of General Topology (K.P. Hart, J. Nagata, J.E. Vaughan, Eds.), 365-371, 2004
Consonant (splittable) spaces

North-Holland, AmsterdamEncyclopedia of General Topology (K.P. Hart, J. Nagata, J.E. Vaughan, Eds.), 53-55, 2004
Topological rings, division rings, fields and lattices

North-Holland, AmsterdamEncyclopedia of General Topology (K.P. Hart, J. Nagata, J.E. Vaughan, Eds.), 365-371, 2004
NON-TRIVIAL LIMIT LAWS IN TOPOLOGICAL GROUPS : HOW SIMPLE CAN THEY BE? (General and Geometric Topology and its Applications)

Morris S., Nickolas P., Shakhmatov D.

RIMS Kokyuroku, 1248 18-23, Jan, 2002
RECENT PROGRESS IN TOPOLOGICAL GROUPS : SELECTED TOPICS (Research of Set-Theoretic and Geometric Topology and Their Applications)

Shakhmatov Dmitri

RIMS Kokyuroku, 1188 1-19, Feb, 2001
Selected results on convergence properties in topological spaces, topological groups and function spaces (Set theory of the reals)

Shakhmatov Dmitri

RIMS Kokyuroku, 1143 37-50, Apr, 2000
A survey of current researches and open problems in the dimension theory of topological groups

SHAKHMATOV D.

Q& A in General Topology, 8(1) 101-128, 1990
A survey of current researches and open problems in the dimension theory of topological groups

Questions and Answers in General Topology, 8(1) 101-128, 1990
CLOSED IMBEDDINGS INTO PSEUDOCOMPACT SPACES PRESERVING THE COVERING DIMENSION

DB SHAKHMATOV

VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, (1) 69-71, Jan, 1988
NOT EVERY TOPOLOGICAL GROUP WITH A COUNTABLE NETWORK IS AN IMAGE UNDER CONTINUOUS HOMOMORPHISMS OF A TOPOLOGICAL GROUP WITH A COUNTABLE BASE

VG PESTOV, DB SHAKHMATOV

VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, (3) 98-101, May, 1986

Books and Other Publications

Algebraic structure of Pseudocompact groups

American Mathematical SocietyMemoucs of the American Mathemational Society, 1998

Presentations

Zariski and (precompact) Markov topologies in free groups and their subgroups

Dmitri Shakhmatov

International conference "Algebra, Topology and Their Interactions" (Udine University, Italy), Sep 12, 2022 Invited
On Markov's problem for free groups

Dmitri Shakhmatov

General Topology Symposium 2021 (Takasaki City University of Economics, Takasaki, Japan), Dec 7, 2021
Unconditionally closed subsets of free (non-commutative) groups

Dmitri B. Shakhmatov

International Conference on Topology and its Applications dedicated to the 100th anniversary of the birthday of Yu. M. Smirnov (Moscow State University, Russia), Sep 21, 2021
Subgroups of general linear groups as automorphism groups of dense subgroups of Euclidean groups

Dmitri Shakhmatov

Dec 4, 2019
Automorphism groups of dense subgroups of R^n

Dmitri Shakhmatov

Modern Problems of Geomerty and Topology and their Applications (Tashkent, National University of Uzbekistan, Uzbekistan), Nov 21, 2019 Invited
An infinite strongly reflexive, strongly self-dual, precompact abelian group

Dmitri Shakhmatov

The Interdisciplinary Colloquium in Topology and its Applications (University of Vigo, Spain), Jun 20, 2019 Invited
Topological groups in which all non-trivial cyclic subgroups are dense

Dmitri Shakhmatov

Recent Developments in General Topology and its Related Fields RIMS Symposium（Open）, Jun 5, 2019
A new class of topological groups containing all Polish groups and all minimal groups

Dmitri Shakhmatov

3rd Pan Pacific International Conference on Topology and its Applications (Sichuan University, Chengdu, China), Nov 10, 2019 Invited
Selectively pseudocompact groups without infinite countably compact subsets

SHAKHMATOV Dmitri

General Topology Symposium 2018, Dec 3, 2018
Weak alpha-favourability in topological spaces and groups

SHAKHMATOV Dmitri

International Conference "Topological Algebra and Set-Theoretic Topology" (Moscow, Russia), Aug 24, 2018 Invited
The impact of the Bohr topology on selective pseudocompactness

SHAKHMATOV Dmitri

2018 International Conference on Topology and its Applications (Nafpaktos, Greece), Jul 10, 2018
A factorization theorem for weak alpha-favourability

SHAKHMATOV Dmitri

Jun 22, 2018
Topological groups which are hard to come by

SHAKHMATOV Dmitri

Pacific International Conference on Topology and Applications (2nd PPICTA), Busan (Korea), Nov 14, 2017 Invited
Compactness-like properties defined by point-open games and maximal almost disjoint families

SHAKHMATOV DMITRI

RIMS共同研究（公開型）「反復強制法の理論と基数不変量」, Nov 8, 2017 Invited
Compactness properties defined by open-point games

SHAKHMATOV Dmitri

Frontiers of selection principles: Celebrating the 60th birthday of Marion Scheepers, Cardinal Stefan Wyszyński University in Warsaw, Warsaw (Poland), Aug 29, 2017 Invited
Selective sequential pseudocompactness in topological spaces and groups

Dmitri Shakhmatov

2016 Interdisciplinary Colloquium in Topology, University of Navarra, Pamplona (Spain),, Sep, 2016 Invited
Selectively sequentially pseudocompact group topolgies on abelian groups

SHAKHMATOV Dmitri

TOPOSYM 2016: The 12th Topological Symposium, International Conference on General Topology and its Relations to Modern Analysis and Algebra, Prague (Czech Republic), Jul, 2016
Productively Baire completeness and compactness

Dmitri Shakhmatov

The 2016 International Conference of the Honam Mathematical Society, Chonbuk National University, Jeonju (Korea), Jun, 2016 Invited

Professional Memberships

日本数理科学協会(JAMS)

Research Projects

Topological groups with fixed point on compacta property and potentially dense subsets of groups

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2020 - Mar, 2025
Structure of compact-like abelian groups and realization of Markov density by a group topology

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2014 - Mar, 2018

SHAKHMATOV Dmitri
Interplay between algebraic and topological closure operators, and existence of compact-like group topologies on abelian groups

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2010 - Mar, 2014

SHAKHMATOV Dmitri
Classification of Higher dimensional Erdos spaces by singular selectors

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2010 - 2012

NOGURA Tsugunori, SHAKHMATOV Dmitri
Study of the structure of the Markov-Zariski topology of a group and convergence properties of compact-like topological groups

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2007 - 2009

SHAKHMATOV Dmitri B., NOGURA Tsugunori, FUJITA Hiroshi
Construction of higher dimensional Erdos-type spaces with selectors and study of topological structure of hyperspaces

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2007 - 2009

NOGURA Tsugunori, SHAKHMATOV Dmitrii, FUJITA Hiroshi, HATTORI Yasunao
Algebraic structure of compact-like topological groups and convergence properties

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2003 - 2005

SHAKHMATOV D.B, NOGURA Tsugunori, KISO Kazuhiro, SASAKI Hiroski, FUJITA Hiroshi, YAMADA Kohzo
Research on "Classification of filters and subsets of reals with respect to selector, and convergence properties of hyperspacea"

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2003 - 2005

NOGURA Tsugunori, SHAKHMATOV Dmitri, HIRAIDE Koichi, FUJITA Hiroshi
Research of dimension and topological structures of topological groups

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2002 - 2003

YAMADA Kohzo, SHAKHMATOV Dmitri, MIYATA Yoshimasa, OHTA Haruto, SAKAI Masami
Research of topological and geometric structures of topological groups

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2000 - 2001

YAMADA Kohzo, SHAKHMATOV Dmitri, MIYATA Yoshimasa, OHTA Haruto
Symmetric spaces and integrable systems

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2000 - 2001

KISO Kazuhiro, MORIMOTO Tohru, YAHAGI Shigenori, SHAKHMATOV Dmitri
A study of continuous selections for filter spaces

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2000 - 2001

NOGURA Tsugunori, HATTORI Yasunao, FUJITA Hiroshi, SHAKHMATOV Dmitri
Cohomology theory of finite groups

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 1999 - 2001

SASAKI Hiroki, HIRAIDE Kouichi, KISO Kazuhiro, NOGURA Tsugunori, NIWASAKI Takashi, SHAKHMATOV Dmitri
Hadamard matrices : construction by groups and examples by computer

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 1998 - 1999

NIWASAKI Takashi, SASAKI Hiroki, KISO Kazuhiro, NOGURA Tsugunori, SHAKHMATOV Dmitri, HIRAIDE Koichi

Media Coverage

Set-Theoretic and Geometric Topology, and their applications

Research Institute for Mathematical Sciences, Kyoto University, RIMS Workshop, Oct 17, 2016 Other

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Research Areas

Education

Papers

Misc.

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