D.B Shakhmatov Ｄ・ＢＳｈａｋｈｍａｔｏｖ

… Alternative Names

Researcher Number	90253294
Other IDs
Affiliation (Current)	2022: 愛媛大学, 理工学研究科(理学系), 教授
Affiliation (based on the past Project Information) *help	2020: 愛媛大学, 理工学研究科(理学系), 教授 2016 – 2017: 愛媛大学, 理工学研究科(理学系), 教授 2007 – 2015: Ehime University, 理工学研究科, 教授 2009: Ehime University, 大学院・理工学研究科, 教授 2001 – 2005: Faculty of Science, Ehime University, Professor, 理学部, 教授 1997 – 2000: 愛媛大学, 理学部, 助教授 1994: 愛媛大学, 理学部, 助教授
Review Section/Research Field	Principal Investigator Geometry / Geometry / Basic Section 11020:Geometry-related Except Principal Investigator Geometry / General mathematics (including Probability theory/Statistical mathematics) / Algebra / General mathematics (including Probability theory/Statistical mathematics)
Keywords	Principal Investigator 位相群 / コンパクト / トポロジー / 代数学 / topological group / weight / 位相アーベル群 / 完備距離空間 / 擬コンパクト / 収束列 … More Except Principal Investigator 超空間 / 連続選択関数 / 次元 / Vietoris位相 / セレクター / 距離空間 / 位相群 / 順序空間 / 積空間 / finitistic spaces / 有限群 / 自由位相群 / k-空間 / 商写像 / Topological group / Free topological group / k-space / Quotient mapping / Metric space / Hyperspace / Vietoris topology / (弱)連続選択関数 / (弱)順序づけ / 特異選択関数 / 順序数空間 / 連続弱選択関数 / 順序付け可能 / 順序付け可能性 / 順序 / 弱順序 / 位相次元 / K-近似 / 選択関数 / 複素射影空間 / 連続写係 / 収束 / metric spaces / topological dimension / topological groups / K-approximation / ordered spaces / selection / complex projective plane / アダマール行列 / ニ面体群 / アダマール予想 / 二面体群 / コード / 2面体群 / デザイン / Hadamard matrix / finite groups / dihedral groups / Hadamard conjecture / コホモロジー / 表現論 / 相対射影性 / パラメーター系 / ノルム写像 / finite group / cohomology / representation theory / relative projectivity / 距離化可能空間 / フレッシェ空間 / ススリンプロパティー / 対称空間 / 可積分系 / リー環 / Symmetric Space / Integrable System / Lie Algebra / 極大フィルター / Vietoris空間 / Selection / Fell Topology / タイトネス / 自由可換位相群 / 位相構造 / 実数値関数 / 連続関数 / 一様連続関数 / ストレート空間 / Tightness / Fell位相 / 可算コンパクト / Ginsburg's question / 可算コンパクト性 / 擬コンパクト性 / Ginsburg's problem / Selector / Fell topology / Dimension / Countably compact Less

Topological groups with fixed point on compacta property and potentially dense subsets of groupsPrincipal Investigator
- Principal Investigator
  
  D・B Shakhmatov
- Project Period (FY)
  2020 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Ehime University
Structure of compact-like abelian groups and realization of Markov density by a group topologyPrincipal Investigator
- Principal Investigator
  
  SHAKHMATOV Dmitri
- Project Period (FY)
  2014 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Ehime University
Interplay between algebraic and topological closure operators, and existence of compact-like group topologies on abelian groupsPrincipal Investigator
- Principal Investigator
  
  SHAKHMATOV Dmitri
- Project Period (FY)
  2010 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Ehime University
Classification of Higher dimensional Erdos spaces by singular selectors
- Principal Investigator
  
  NOGURA Tsugunori
- Project Period (FY)
  2010 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Ehime University
Study of the structure of the Markov-Zariski topology of a group and convergence properties of compact-like topological groupsPrincipal Investigator
- Principal Investigator
  
  SHAKHMATOV Dmitri B.
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Ehime University
Construction of higher dimensional Erdos-type spaces with selectors and study of topological structure of hyperspaces
- Principal Investigator
  
  NOGURA Tsugunori
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Ehime University
Algebraic structure of compact-like topological groups and convergence propertiesPrincipal Investigator
- Principal Investigator
  
  SHAKHMATOV D.B
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Ehime University
Research on "Classification of filters and subsets of reals with respect to selector, and convergence properties of hyperspacea"
- Principal Investigator
  
  NOGURA Tsugunori
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Ehime University
Research of dimension and topological structures of topological groups
- Principal Investigator
  
  YAMADA Kohzo
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Shizuoka University
Research of topological and geometric structures of topological groups
- Principal Investigator
  
  YAMADA Kohzo
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Shizuoka University
Symmetric spaces and integrable systems
- Principal Investigator
  
  KISO Kazuhiro
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Ehime University
A study of continuous selections for filter spaces
- Principal Investigator
  
  NOGURA Tsugunori
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Ehime University
Cohomology theory of finite groups
- Principal Investigator
  
  SASAKI Hiroki
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Ehime University
Hadamard matrices : construction by groups and examples by computer
- Principal Investigator
  
  NIWASAKI Takashi, 木村浩
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Ehime University
On the research of topological dimension of metric spaces
- Principal Investigator
  
  HATTORI Yasunao
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Shimane University
位相群の位相構造Principal Investigator
- Principal Investigator
  
  シャクマトフディミドリ
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Geometry
- Research Institution
  Ehime University

[Journal Article] On subsets of R^n spanning it via positive integers as multipliers2021
- Author(s)
  Vitalij A.Chatyrko, Dmitri B.Shakhmatov
- Journal Title
  
  Topology and its Applications
  
  Volume: in press Pages: 1-14
- DOI
  10.1016/j.topol.2020.107497
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03615
[Journal Article] Automorphism groups of dense subgroups of R^n2020
- Author(s)
  Vitalij A.Chatyrko, Dmitri B.Shakhmatov
- Journal Title
  
  Topology and its Applications
  
  Volume: 275, 107000 Pages: 1-19
- DOI
  10.1016/j.topol.2019.107000
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03615
[Journal Article] The impact of the Bohr topology on selective pseudocompactness2018
- Author(s)
  D. Shakhmatov, V.H. Yanez
- Journal Title
  
  arXiv preprint arXiv:1801.09380 [math.GN]
  
  Volume: -
- Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400091
[Journal Article] Two open-point games related to selective (sequential) pseudocompactness, with application to 1-cl-starcompactness property of Matveev2018
- Author(s)
  A. Dorantes-Aldama, D. Shakhmatov
- Journal Title
  
  京都大学数理解析研究所講究録「集合論的・幾何学的トポロジーの動向と諸分野との連携」
  
  Volume: 2064 Pages: 41-52
- Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400091
[Journal Article] Topological groups with many small subgroups revisited2018
- Author(s)
  D. Shakhmatov, V.H. Yanez
- Journal Title
  
  京都大学数理解析研究所講究録「集合論的・幾何学的トポロジーの動向と諸分野との連携」
  
  Volume: 20164 Pages: 59-65
- Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400091
[Journal Article] SSGP topologies on abelian groups of positive finite divisible rank2018
- Author(s)
  D. Shakhmatov, V.H. Yanez
- Journal Title
  
  Fundamenta Mathematicae
  
  Volume: -
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400091
[Journal Article] Selectively sequentially pseudocompact group topologies on torsion and torsion-free Abelian groups2017
- Author(s)
  A. Dorantes-Aldama, D. Shakhmatov
- Journal Title
  
  Topology and its Applications
  
  Volume: 230 Pages: 562-577
- DOI
  10.1016/j.topol.2017.08.020
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400091
[Journal Article] Completeness and compactness properties in metric spaces, topological groups and function spaces2017
- Author(s)
  Alejandro Dorantes-Aldama and Dmitri Shakhmatov
- Journal Title
  
  Topology and its Applications
  
  Volume: -
- DOI
  10.1016/j.topol.2017.04.012
- Peer Reviewed / Acknowledgement Compliant / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400091
[Journal Article] The existence of continuous weak selections and orderability-type properties in products and filter spaces2017
- Author(s)
  K. Motooka, D. Shakhmatov, T. Yamauchi
- Journal Title
  
  Topology and its Applications
  
  Volume: 232 Pages: 45-60
- DOI
  10.1016/j.topol.2017.09.030
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400091, KAKENHI-PROJECT-26800040
[Journal Article] Selective sequential pseudocompactness2017
- Author(s)
  Alejandro Dorantes-Aldama and Dmitri Shakhmatov
- Journal Title
  
  Topology and its Applications
  
  Volume: 222 Pages: 53-69
- DOI
  10.1016/j.topol.2017.02.016
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400091
[Journal Article] Subgroups of direct products closely approximated by direct sums2017
- Author(s)
  M.V. Ferrer, S. Hernandez, D. Shakhmatov
- Journal Title
  
  Forum Mathematicum
  
  Volume: 29 Pages: 1125-1144
- DOI
  10.1515/forum-2016-0047
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400091
[Journal Article] Selectively pseudocompact groups without non-trivial convergent sequences2017
- Author(s)
  D. Shakhmatov, V.H. Yanez
- Journal Title
  
  arXiv preprint arXiv:1704.07740 [math.GN]
  
  Volume: -
- Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400091
[Journal Article] A countable free closed non-reflexive subgroup of Z^c2017
- Author(s)
  M.V. Ferrer, S. Hernandez, D. Shakhmatov
- Journal Title
  
  Proceedings of the American Mathematical Society
  
  Volume: 145 Pages: 3599-3605
- DOI
  10.1090/proc/13532
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400091
[Journal Article] Direct sums and products in topological groups and vector spaces2016
- Author(s)
  D. Dikranjan, D. Shakhmatov, J. Spevak
- Journal Title
  
  Journal of Mathematical Analysis and its Applications
  
  Volume: 437 Pages: 1257-1282
- DOI
  10.1016/j.jmaa.2016.01.037
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400091
[Journal Article] Topological groups with many small subgroups2015
- Author(s)
  D. Dikranjan, D. Shakhmatov
- Journal Title
  
  Topology and its Applications
  
  Volume: -
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-26400091
[Journal Article] A complete solution of Markov's problem on connected group topologies2015
- Author(s)
  D. Dikranjan, D. Shakhmatov
- Journal Title
  
  Advances in Mathematics
  
  Volume: -
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26400091
[Journal Article] Characterization of Lie groups via finitness conditions on their zero-dimensional subgroups2013
- Author(s)
  D. Dikranjan, D. Shakhmatov, J. Spevak
- Journal Title
  
  第６０回トポロジーシンポジウム講演集
  
  Volume: - Pages: 21-30
- Data Source
  KAKENHI-PROJECT-22540089
[Journal Article] Metrization criteria for compact groups in terms of their dense subgroups2013
- Author(s)
  D. Dikranjan, D. Shakhmatov
- Journal Title
  
  Fundamenta Mathematicae
  
  Volume: 221 Pages: 161-187
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540089
[Journal Article] On the existence of kings in continuous tournaments2012
- Author(s)
  Nagao, M.; Shakhmatov D.
- Journal Title
  
  Topology Appl
  
  Volume: 159 Pages: 3089-3096
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540137
[Journal Article] Quasi convexity dense and suitable sets in the arc component of a compact group2012
- Author(s)
  Dikaranjan D.; Shakhmatov D.
- Journal Title
  
  Math. Nachr
  
  Volume: 285 Pages: 476-485
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540137
[Journal Article] Quasicovexly dense and suitable sets in the arc component of a compact group2012
- Author(s)
  D. Dikranjan, D. Shakhmatov
- Journal Title
  
  Mathematische Nachrichten
  
  Volume: 285 Pages: 476-485
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540089
[Journal Article] Quasi-covexly dense and suitable sets in the arc component of a compact group2012
- Author(s)
  D.Dikranjan, D.Shakhmatov
- Journal Title
  
  Mathematische Nachrichten
  
  Volume: 285 Pages: 476-485
- DOI
  10.1002/mana.201010013
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540089
[Journal Article] On the existence of kings in continuous tournaments2012
- Author(s)
  M. Nagao, D. Shakhmatov
- Journal Title
  
  Topology and its Applications
  
  Volume: 159 Pages: 3089-3096
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540089
[Journal Article] A Kronecker-Weyl theorem for subsets of abelian groups2011
- Author(s)
  D.Dikranjan, D.Shakhmatov
- Journal Title
  
  Advances in Mathematics
  
  Volume: 226 Pages: 4776-4795
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540089
[Journal Article] Productivity of sequences with respect to a given weight function2011
- Author(s)
  Dikranjan D.; Shakhmatov D.; Spevak J
- Journal Title
  
  Topology Appl
  
  Volume: 158 Pages: 298-324
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540137
[Journal Article] A Kronecker-Weyl theorem fpr subsets of abelian groups2011
- Author(s)
  Dikranjan D.;Shakhmatov D.
- Journal Title
  
  Adv. Math.
  
  Volume: 226 Pages: 4776-4795
- Data Source
  KAKENHI-PROJECT-22540137
[Journal Article] Productivity of sequences with respect to a given weight function2011
- Author(s)
  D. Dikranjan, D. Shakhmatov, J. Spevak
- Journal Title
  
  Topology and its Applications
  
  Volume: 158 Pages: 298-324
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540089
[Journal Article] A Kronecker - Weyl theorem for subsets of abelian groups2011
- Author(s)
  D. Dikranjan, D. Shakhmatov
- Journal Title
  
  Advances in Mathematics
  
  Volume: 226 Pages: 4776-4795
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540089
[Journal Article] Quasi convex density and determining subgroups of compact abelian2010
- Author(s)
  D. Dikranjan; D. Shakhmatov
- Journal Title
  
  J. Math. Anal. Appl 363
  
  Pages: 42-48
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540134
[Journal Article] The Markov-Zariski topology of abelian group2010
- Author(s)
  Dikranjan D.; Shakhmatov, D
- Journal Title
  
  J. Algebra
  
  Volume: 324 Pages: 1125-1158
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540137
[Journal Article] Quasiconvex density and determining subgroups of compact abelian groups (with D. Dikranjan)2010
- Author(s)
  D. Dikranjan; D. Shakhmatov
- Journal Title
  
  Journal of Mathematical Analysis and Applications 363
  
  Pages: 42-48
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540092
[Journal Article] Hewitt-Marczewski-Pondiczery type theorem for abelian groups and Markov's potential density2010
- Author(s)
  D.Dikranjan, D.Shakhmatov
- Journal Title
  
  Proceedings of the American Mathematical Society 138
  
  Pages: 2979-2990
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540092
[Journal Article] Quasi-convex density and determining subgroups of compact abelian groups2010
- Author(s)
  D.Dikranjan, D.Shakhmatov
- Journal Title
  
  Journal of Mathematical Analysis and its Applications 363
  
  Pages: 42-48
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540092
[Journal Article] Hewitt-Marczewski-Pondiczery type theorem for abelian groups and Markov's potential density2010
- Author(s)
  D. Dikranjan; D. Shakhmatov
- Journal Title
  
  Proceedings of the American Mathematical Society 138
  
  Pages: 2979-2990
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540092
[Journal Article] Group valued continuous functions with the topology of pointwise convergence2010
- Author(s)
  Shakhmatov D.; Spevak J
- Journal Title
  
  Topology Appl
  
  Volume: 157 Pages: 1518-1540
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540137
[Journal Article] Group-valued continuous functions with the topology of pointwise convergence2010
- Author(s)
  D.Shakhmatov, J.Spevak
- Journal Title
  
  Topology and its Applications 157
  
  Pages: 1518-1540
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540092
[Journal Article] Group-valued continuous functionswith the topology pointwise convergence2010
- Author(s)
  D. Shakhmatov; J. Spevak
- Journal Title
  
  Topology Appl
  
  Pages: 1518-1540
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540134
[Journal Article] Group-valued continuous functions with the topology of pointwise convergence2010
- Author(s)
  D. Shakhmatov; J. Spevak
- Journal Title
  
  Topology and its Applications 157
  
  Pages: 1518-1540
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540092
[Journal Article] Hewitt-Marczewski- Pondiczery type theorem for abelian groups and Markov's potential density2010
- Author(s)
  Dikranjan D.; Shakhmatov D
- Journal Title
  
  Proc. Amer. Math. Soc.
  
  Volume: 138 Pages: 2979-2990
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540137
[Journal Article] Minimal pseudocompact group topologies on free abelian groups2009
- Author(s)
  D. Dikranjan; A. Giordano Bruno; D. Shakhmatov
- Journal Title
  
  Topology and its Applications 156
  
  Pages: 2039-2053
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540092
[Journal Article] Building suitable sets for locally compact groups by means of continuous selections2009
- Author(s)
  D. Shakhmatov
- Journal Title
  
  Topology and its Applications 156
  
  Pages: 1216-1223
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540092
[Journal Article] Minimal pseudocompact group topologies on free abelian groups2009
- Author(s)
  Dikranjan, D; B. Giordano; D. Shakhmatov
- Journal Title
  
  Topology Appl 156
  
  Pages: 2039-2053
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540134
[Journal Article] Minimal pseudocompact group topologies on free abelian groups2009
- Author(s)
  D.Dikranjan, A.Giordano Bruno, D.Shakhmatov
- Journal Title
  
  Topology and its Applications 156
  
  Pages: 2039-2053
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540092
[Journal Article] Building suitable sets for locally compact groups by Means of continuous selections2009
- Author(s)
  D. Shakhmatov
- Journal Title
  
  Topology and its Applications 156
  
  Pages: 1216-1223
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540092
[Journal Article] Building suitable sets for locally compact groups by means of continuous selections2009
- Author(s)
  D. Shakhmatov
- Journal Title
  
  Topology Appl 156
  
  Pages: 1216-1223
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540134
[Journal Article] Abundance of sigma-compact non-compactly generated groups witnessed by the Bohr topology of an abelian group2008
- Author(s)
  D. Dikranjan; D. Shakhmatov
- Journal Title
  
  数理解析研究所講究緑, 一般及び幾何学的トポロジーの現状と諸問題 1578
  
  Pages: 16-18
- Data Source
  KAKENHI-PROJECT-19540092
[Journal Article] Reflection principle characterizing groups in which unconditionally closed sets are algebraic2008
- Author(s)
  D. Dikranjan; D. Shakhmatov
- Journal Title
  
  Journal of Group Theory 11,no.3
  
  Pages: 421-442
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540092
[Journal Article] Abundance of sigma-compact non-compactly generated groups witnessed by the Bohr topology of an abelian group2008
- Author(s)
  D. Dikranjan, D. Shakhmatov
- Journal Title
  
  数理解析研究所講究緑, 一般及び幾何学的トポロジーの現状と諸問題 1578
  
  Pages: 16-18
- Data Source
  KAKENHI-PROJECT-19540092
[Journal Article] Reflection principle characterizing groups in which all unconditionally closed sets are algebraic2008
- Author(s)
  D. Dikranjan, D, Shakhmatov
- Journal Title
  
  Journal of Group Theory 11
  
  Pages: 421-442
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540092
[Journal Article] Reflection principle characterizing groups in which unconditionally closed sets are algebraic2008
- Author(s)
  D. Dikranjan; D. Shakhmatov
- Journal Title
  
  J. Group Theory 11
  
  Pages: 421-442
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540134
[Journal Article] Weight of closed subsets topologically generating a compact group2007
- Author(s)
  D. Dikranjan; D. Shakhmatov
- Journal Title
  
  Math. Nachr 280
  
  Pages: 505-522
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540134
[Journal Article] Forcing hereditarily separable compact-like group topologies on abelian groups2005
- Author(s)
  D.Dikranjan, D.Shakhmatov
- Journal Title
  
  Topology and its Applications 151
  
  Pages: 2-54
- Data Source
  KAKENHI-PROJECT-15540082
[Journal Article] Forcing hereditarily separable compact-like group topologies on Abelian groups2005
- Author(s)
  D.Dikranjan, D.Shakhmatov
- Journal Title
  
  Topology and its Applications 151
  
  Pages: 2-54
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540082
[Journal Article] Examples concerning extensions of continuous functions2004
- Author(s)
  C.Costantini, D.Shakhmatov
- Journal Title
  
  Topology and its Applications 143
  
  Pages: 189-208
- Data Source
  KAKENHI-PROJECT-15540082
[Journal Article] A characterization of compactly generated metric groups2003
- Author(s)
  H.Fujita, D.Shakhmatov
- Journal Title
  
  Proceedings of the American Mathematical Society 131
  
  Pages: 953-961
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540082
[Journal Article] Weight of closed subsets topologically generating a compact group
- Author(s)
  D.Dikranjan, D.Shakhmatov
- Journal Title
  
  Mathematische Nachrichten (印刷中)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540082
[Journal Article] The Markov-Zariski topology of an abelian group
- Author(s)
  D. Dikranjan; D. Shakhmatov
- Journal Title
  
  Journal of Algebra (印刷中)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540092
[Journal Article] Selected topics from the structure theory of topological groups
- Author(s)
  D.Dikranjan, D.Shakhmatov
- Journal Title
  
  Recent Progress in General Topology II (North-Holland, Elsevier Science) (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540082
[Journal Article] Around monothetic groups
- Author(s)
  D.Dikranjan, D.Shakhmatov
- Journal Title
  
  Communications in Algebra (印刷中)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540082
[Journal Article] Selected topics from the structure theory of topological groups
- Author(s)
  D.Dikranjan, D.Shakhmatov
- Journal Title
  
  Recent Progress in General Topology II, Norty-Holland (Elsevier Science (印刷中)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540082
[Journal Article] The Markov-Zariski topology of an abelian group
- Author(s)
  D.Dikranjan, D.Shakhmatov
- Journal Title
  
  Journal of Algebra (印刷中)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540092
[Journal Article] Weight of closed subsets topologically generating a compact group
- Author(s)
  D.Dikranjan, D.Shakhmatov
- Journal Title
  
  Mathematische Nachrichten (印刷中)
- Data Source
  KAKENHI-PROJECT-15540082
[Journal Article] Weight of closed subsets topologically generating a compact group
- Author(s)
  D.Dikranjan, D.Shakhmatov
- Journal Title
  
  Mathematische Nachrichten (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540082
[Journal Article] Around monothetic groups.
- Author(s)
  D.Dikranjan, D.Shakhmatove
- Journal Title
  
  Communications in Algebra (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540082
[Presentation] A factorization theorem for weak alpha-favourability2018
- Author(s)
  D. Shakhmatov
- Organizer
  RIMS共同研究（公開型）「一般位相幾何学の進展と諸問題」
- Data Source
  KAKENHI-PROJECT-26400091
[Presentation] Topological groups which are hard to come by2017
- Author(s)
  D. Shakhmatov
- Organizer
  The 2nd Pan Pacific Conference on Topology and its Applications
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400091
[Presentation] Compactness properties defined by an open-point game2017
- Author(s)
  D. Shakhmatov
- Organizer
  Frontiers of Selection Principles (celebrating the 60th birthday of Marion Scheepers)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400091
[Presentation] Minimal almost periodic topologies on groups2017
- Author(s)
  D. Shakhmatov
- Organizer
  Alexandroff Topology Seminar at Moscow State University
- Invited
- Data Source
  KAKENHI-PROJECT-26400091
[Presentation] Compactness-like properties defined by open-point games and maximal almost disjoint families2017
- Author(s)
  D. Shakhmatov
- Organizer
  RIMS共同研究（公開型）「反復強制法の理論と基数不変量」
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400091
[Presentation] Selectively sequentially pseudocompact group topologies on abelian groups2016
- Author(s)
  D. Shakhmatov
- Organizer
  Twelfth Symposium on General Topology and its Relations to Modern Analysis and Algebra (TOPOSYM 2016)
- Place of Presentation
  Prague (Czech Republic)
- Year and Date
  2016-07-25
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400091
[Presentation] Productively Baire completeness and compactness properties2016
- Author(s)
  D. Shakhmatov
- Organizer
  2016 International Conference of the Honam Mathematical Society
- Place of Presentation
  Chonbuk National University (Deparment of Mathematics Education), Jeonju, South Korea
- Year and Date
  2016-06-16
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400091
[Presentation] Completeness properties in metric spaces and topological groups, with applications to function spaces2016
- Author(s)
  D. Shakhmatov
- Organizer
  IMAC Topology Workshop
- Place of Presentation
  Universitat Jaume I, Castellon (Spain)
- Year and Date
  2016-09-16
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400091
[Presentation] New class of pseudocompact spaces containing all sequentially compact spaces2016
- Author(s)
  D. Shakhmatov
- Organizer
  Alexandroff Topology Seminar at Moscow State University
- Place of Presentation
  Moscow (Russia)
- Invited
- Data Source
  KAKENHI-PROJECT-26400091
[Presentation] Selective sequential pseudocompactness in topological spaces and groups2016
- Author(s)
  D. Shakhmatov
- Organizer
  Interdisciplinary Colloquium in Topology
- Place of Presentation
  University of Navarra, Pamplona (Spain)
- Year and Date
  2016-09-01
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400091
[Presentation] Minimally alsmost periodic and connected group topologies on abelian groups2015
- Author(s)
  D. Shakhmatov
- Organizer
  1st Pan Pacific International Conference on Topology and Applications (PPICTA)
- Place of Presentation
  Minnan Normal University, Zhangzhou (中国)
- Year and Date
  2015-11-25
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400091
[Presentation] 任意の可換群上面白い群位相の定めかたについて2015
- Author(s)
  D. Shakhmatov
- Organizer
  RIMS研究集会「集合論的位相幾何学および幾何学的トポロジーの最近の動向と展望」
- Place of Presentation
  京都大学数理解析研究所(京都府京都市)
- Year and Date
  2015-11-16
- Data Source
  KAKENHI-PROJECT-26400091
[Presentation] Complete solution of Markov's problem on the existence of connected Hausdorff group topologies2015
- Author(s)
  D. Shakhmatov
- Organizer
  International Conference on Topology, Messina 2015 (ICTM2015), On the occasion of Filippo Cammaroto's 65th birthday
- Place of Presentation
  Messina (Italy)
- Year and Date
  2015-09-07
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400091
[Presentation] Markov's problem on the existence of connected Hausdorff group topologies on abelian groups2015
- Author(s)
  D. Shakhmatov
- Organizer
  Alexandroff Topology Seminar at Moscow State University
- Place of Presentation
  Moscow (Russia)
- Year and Date
  2015-09-24
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400091
[Presentation] Topological groups with many small subgroups2015
- Author(s)
  D. Shakhmatov
- Organizer
  International Conference on Set-Theoretic Topology and its Applications (Joint with the 50th Symposium of General Topology and 2015 General Topology Symposium)
- Place of Presentation
  神奈川大学（神奈川県横浜市）
- Year and Date
  2015-08-24
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400091
[Presentation] Characterizations of Lie groups via finiteness conditions on their zero-dimensional subgroups2013
- Author(s)
  D. Shakhmatov
- Organizer
  第60回トポロジーシンポジウム
- Place of Presentation
  大阪市立大学, 大阪
- Year and Date
  2013-08-06
- Invited
- Data Source
  KAKENHI-PROJECT-22540089
[Presentation] Characterizations of Lie groups via finiteness conditions on their zero-dimensional subgroups2013
- Author(s)
  D. Dikranjan, D. Shakhmatov, J. Spevak
- Organizer
  第６０回トポロジーシンポジウム
- Place of Presentation
  大阪市立大学, 大阪
- Invited
- Data Source
  KAKENHI-PROJECT-22540089
[Presentation] Properties character-rizing Lie groups among compact-like groups2013
- Author(s)
  D. Shakhmatov
- Organizer
  International Conference on Topology and Geometry 2013 (joint with the 6th Japan-Mexico Topology Symposium)
- Place of Presentation
  島根大学, 松江
- Year and Date
  2013-09-02
- Invited
- Data Source
  KAKENHI-PROJECT-22540089
[Presentation] Properties characterizing Lie groups among compact-like groups2013
- Author(s)
  D. Dikranjan, D. Shakhmatov, J. Spevak
- Organizer
  International Conference on Topology and Geometry 2013 (joint with the 6th Japan-Mexico Topology Symposium)
- Place of Presentation
  島根大学, 松江
- Invited
- Data Source
  KAKENHI-PROJECT-22540089
[Presentation] Graphtheoretic aspect of continuous weak selection2012
- Author(s)
  Shakhmatov D
- Organizer
  IVth Workshop on Coverings, Selections and Games in Topology
- Place of Presentation
  Caserta(Italy)
- Data Source
  KAKENHI-PROJECT-22540137
[Presentation] Metrizability of compact groups via conditions on their dense subgroups2012
- Author(s)
  Shakhmatov D
- Organizer
  TOPOSYM 2011
- Place of Presentation
  Prague(Czech Republic)
- Data Source
  KAKENHI-PROJECT-22540137
[Presentation] Medtrizability of compact groups via conditions on their dense subgroups2011
- Author(s)
  D.Shakhmatov
- Organizer
  Toposym 2011 (11^<th> Topological Symposium)
- Place of Presentation
  Prague, Czech Republic
- Year and Date
  2011-08-11
- Data Source
  KAKENHI-PROJECT-22540089
[Presentation] Metrizability of compact groups via conditions on their dense subgroups2011
- Author(s)
  D. Shakhmatov
- Organizer
  TOPOSYM 2011: The 11th Topological Symposium, International Conference on General Topology and its Relations to Modern Analysis and Algebra
- Place of Presentation
  Prague, Czech Republic
- Year and Date
  2011-08-08
- Invited
- Data Source
  KAKENHI-PROJECT-22540089
[Presentation] Two decades of pseudocompact group topologization problem2010
- Author(s)
  Shakhmatov D
- Place of Presentation
  Barcelona (Spain)
- Data Source
  KAKENHI-PROJECT-22540137
[Presentation] Two decades of the pseudocompact group topologization problem2010
- Author(s)
  D. Shakhmatov
- Organizer
  Algebra meets Topology : Advances and Applications
- Place of Presentation
  Universitat Politechnica De Catalynya, Barcelona, Spain
- Year and Date
  2010-07-21
- Invited
- Data Source
  KAKENHI-PROJECT-22540089
[Presentation] Topological properties of the Markov-Zariski topology of an abelian group2010
- Author(s)
  Shakhmatov D
- Organizer
  2010 International conference on Topology and its Applications
- Place of Presentation
  Nafpaktos (Greece)
- Data Source
  KAKENHI-PROJECT-22540137
[Presentation] Topological properties of the Markov-Zariski topology of an abelian group2010
- Author(s)
  D. Shakhmatov
- Organizer
  2010 International Conference on Topology and its Applications
- Place of Presentation
  Nafpaktos, Greece
- Year and Date
  2010-06-27
- Data Source
  KAKENHI-PROJECT-22540089
[Presentation] Hewitt-Marczewski- Pondiczery type theorem for abelian groups and Markov's potential density2009
- Author(s)
  D. Shakhmatov
- Organizer
  The 24th Summer Conference on Topology and its Applications
- Place of Presentation
  Brno, Czech Republic
- Year and Date
  2009-07-17
- Data Source
  KAKENHI-PROJECT-19540092
[Presentation] Hewitt-Marczewski-Pondiczery type theorem for abelian groups and Markov's potential density2009
- Author(s)
  D.Shakhmatov
- Organizer
  The 24^<th> Summer Conference on Topology and its Applicatoons
- Place of Presentation
  Brno, Czech Republic
- Year and Date
  2009-07-17
- Data Source
  KAKENHI-PROJECT-19540092
[Presentation] Group-valued continuous functions with the topology of point-wise convergence2009
- Author(s)
  D. Shakhmatov; J. Spevak
- Organizer
  大44回位相空間論シンポジウム
- Place of Presentation
  島根大学
- Year and Date
  2009-05-31
- Data Source
  KAKENHI-PROJECT-19540092
[Presentation] Advances in Set-Theoretic Topology2008
- Author(s)
  D. Shakhmatov, Strong S, L groups
- Organizer
  Centre "Ettore Majoranana"
- Place of Presentation
  Centre "Ettore Majoranana", Erice, Italy
- Year and Date
  2008-06-18
- Data Source
  KAKENHI-PROJECT-19540092
[Presentation] Strong S and L groups2008
- Author(s)
  D. Shakhmatov
- Organizer
  Advances in Set-theoretic Topology
- Place of Presentation
  Cenre“Ettore Majoranana", Erice, Italy
- Year and Date
  2008-06-18
- Data Source
  KAKENHI-PROJECT-19540092
[Presentation] Solutions to 1944 problems of Markov2007
- Author(s)
  D.Shakhmatov
- Organizer
  International Conference on Topology and its Applications 2007
- Place of Presentation
  京都大学
- Data Source
  KAKENHI-PROJECT-19540092
[Presentation] Solutions to 1944 problems of Markov2007
- Author(s)
  D. Shakhmatov
- Organizer
  International Conference on Topology and its Applications 2007
- Place of Presentation
  京都大学(招待講演)
- Year and Date
  2007-12-05
- Data Source
  KAKENHI-PROJECT-19540092
[Presentation] Graph-theoretic aspects of continuous weak selections
- Author(s)
  D. Shakhmatov
- Organizer
  IVth Workshop on Coverings, Selections and Games in Topology
- Place of Presentation
  Caserta, Italy
- Invited
- Data Source
  KAKENHI-PROJECT-22540089
[Presentation] Application of Hartman-Mycielski construction to two characterization problems in topological groups
- Author(s)
  D. Shakhmatov
- Organizer
  Workshop on Mathematical Logic on the Occasion of Sakae Fuchino's 60th Birthday
- Place of Presentation
  Kobe University
- Year and Date
  2014-11-17 – 2014-11-19
- Data Source
  KAKENHI-PROJECT-26400091
[Presentation] Compact-like connected group topologies on abelian groups
- Author(s)
  D. Shakhmatov
- Organizer
  第４９回位相空間論シンポジウム
- Place of Presentation
  京都工芸繊維大学松ヶ崎キャンパス
- Year and Date
  2014-06-05 – 2014-06-06
- Data Source
  KAKENHI-PROJECT-26400091

1. NOGURA Tsugunori (00036419)

# of Collaborated Projects: 9 results

# of Collaborated Products: 0 results
2. FUJITA Hiroshi (60238582)

# of Collaborated Projects: 5 results

# of Collaborated Products: 1 results
3. YAMADA Kohzo (00200717)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
4. KISO Kazuhiro (60116928)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
5. SASAKI Hiroki (60142684)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
6. HIRAIDE Koichi (50181136)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
7. HATTORI Yasunao (20144553)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
8. NIWASAKI Takashi (50218252)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
9. MIYATA Yoshimasa (50022207)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
10. OHTA Haruto (40126769)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
11. MAEDA Sadahiro (40181581)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. MIWA Takuo (60032455)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. MORIMOTO Tohru (80025460)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. YAHAGI Shigenori (10253296)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. SAKAI Masami (60215598)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. 相川弘明 (20137889)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. 木村浩 (70023570)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. 宮本雅彦 (30125356)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. 大森博之 (20036370)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. YAMAUCHI Takamitsu

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

D.B Shakhmatov Ｄ・Ｂ Ｓｈａｋｈｍａｔｏｖ

D・B Shakhmatov ディー・ビー シャクマトフ

SHAKHMATOV Dmitri D・B Shakhmatov

SHAKHMATOV D.B. シヤクマトフ デイー・ビー

SHAKHMATOV Dmitrii シャクマトフ デミトリ

SHAKHMATOV Dmitri B.

D.B. Shakhmatov デイー・ビー シャクマトフ

SHAKHMATOV D.B D.B Shakhmatov

SHAKHMOTOV Dmitri シャクマトフ デミトリ

SHAKHMATOV Domitri ドミトリ シャクマトフ

ドミトリー シャクマトラ ドミトリー シャクマトラ

シャルマトフ ドミトリー シャクマトフ ドミトリー

シャクマトフ ディミドリ シャクマトフ ディミドリ

Research Projects

Research Products

Co-Researchers

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

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Structure of compact-like abelian groups and realization of Markov density by a group topologyPrincipal Investigator

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Interplay between algebraic and topological closure operators, and existence of compact-like group topologies on abelian groupsPrincipal Investigator

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Principal Investigator

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Study of the structure of the Markov-Zariski topology of a group and convergence properties of compact-like topological groupsPrincipal Investigator

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Algebraic structure of compact-like topological groups and convergence propertiesPrincipal Investigator

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D.B Shakhmatov Ｄ・ＢＳｈａｋｈｍａｔｏｖ

D・B Shakhmatov ディー・ビーシャクマトフ

SHAKHMATOV D.B. シヤクマトフデイー・ビー

SHAKHMATOV Dmitrii シャクマトフデミトリ

D.B. Shakhmatov デイー・ビーシャクマトフ

SHAKHMOTOV Dmitri シャクマトフデミトリ

SHAKHMATOV Domitri ドミトリシャクマトフ

ドミトリーシャクマトラドミトリーシャクマトラ

シャルマトフドミトリーシャクマトフドミトリー

シャクマトフディミドリシャクマトフディミドリ