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Yajima Yukinobu  矢島 幸信

ORCIDConnect your ORCID iD *help
… Alternative Names

矢島 幸信  ヤジマ ユキノブ

YAJIMA Yukinobu  矢島 幸信

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Researcher Number 10142548
Other IDs
Affiliation (Current) 2025: 神奈川大学, 公私立大学の部局等, 名誉教授
Affiliation (based on the past Project Information) *help 2017 – 2019: 神奈川大学, 工学部, 教授
2007 – 2014: 神奈川大学, 工学部, 教授
2003 – 2005: 神奈川大学, 工学部, 教授
1998 – 1999: 神奈川大学, 工学部, 教授
1993 – 1994: 神奈川大学, 工学部, 教授
Review Section/Research Field
Principal Investigator
General mathematics (including Probability theory/Statistical mathematics) / Geometry / Foundations of mathematics/Applied mathematics / Geometry
Except Principal Investigator
General mathematics (including Probability theory/Statistical mathematics) / General mathematics (including Probability theory/Statistical mathematics)
Keywords
Principal Investigator
積空間 / 正規性 / 被覆性 / Σ-積空間 / 無限積空間 / covering property / normality / 順序数 / 位相積空間 / D-空間 … More / 定常集合 / 単調正規空間 / P-埋め込み / C-埋め込み / C*-埋め込み / GO-空間 / 到達不可能基数 / extent / 長方形的 / 順序数の部分空間 / 連続体仮設 / 連続体濃度 / 最小非可算濃度 / 有界 / 連続関数 / 無限可算離散空間 / ordinal / Σ-product / infinite product / product / normal cover / M_3-space / rectangular / パラコンパクト / 長方形 / ベースパラコンパクト / 長方形の組分 / 有限積空間 / M_1-空間 / M_3-空間 / 正規被覆 / M_3空間 / shadowing property / function space / k-network / metrization theorem / regular net / topological product / Special refinement / サブパラコンパクト / メタコンパクト / LF-netted空間 / 擬軌道尾行性 / 関数空間 / k-ネットワーク / 距離化定理 / レギュラーネット / △-正規 / △-パラコンパクト / 正規 / エレメンタリ―サブモデル / コンパクト空間 / ZFC / 位相空間 / エレメンタリーサブモデル / 数学基礎論 / 位相的性質 / 集合論 / 位相空間論 … More
Except Principal Investigator
関数空間 / 数学基礎論 / k-network / the discrete countable chain condition / Pixley-Roy Hyperspace / Scheepers予想 / cardinal function / selective separability / Pixley-Roy / 臨界濃度 / 特異部分集合 / 確率振動子 / リエナール方程式 / クラマーズ方程式 / スモルチョフスキー方程式 / 弱収束 / 確率微分方程式 / 平均場相互作用 / 緩和振動 Less
  • Research Projects

    (9 results)
  • Research Products

    (53 results)
  • Co-Researchers

    (9 People)
  •  The set-theoretical study of monotone normality and D-spaces in terms of stationary setsPrincipal Investigator

    • Principal Investigator
      Yajima Yukinobu
    • Project Period (FY)
      2017 – 2019
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Foundations of mathematics/Applied mathematics
    • Research Institution
      Kanagawa University
  •  The set-theoretic study for the products with a monotonical normal factor in terms of stationary setsPrincipal Investigator

    • Principal Investigator
      YAJIMA Yukinobu
    • Project Period (FY)
      2012 – 2014
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kanagawa University
  •  A study on Scheepers' conjecture of special subsets of reals in view of a sequence of upper semi-continuous functions

    • Principal Investigator
      SAKAI Masami
    • 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
      Kanagawa University
  •  The study for covering properties of topological spaces and their products in terms of elementary submodelsPrincipal Investigator

    • Principal Investigator
      YAJIMA Yukinobu
    • Project Period (FY)
      2009 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kanagawa University
  •  A study on special subsets of real numbers derived from local properties of function spaces and their critical cardinalities

    • Principal Investigator
      SAKAI Masami
    • 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
      Kanagawa University
  •  The considerations of M_3 problems from a new point of viewPrincipal Investigator

    • Principal Investigator
      YAJIMA Yukinobu
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kanagawa University
  •  NORMALITY AND COVERING PROFERITIES OF TOPOLOGICAL PROCUCT SPACESPrincipal Investigator

    • Principal Investigator
      YAJIMA Yukinobu
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kanagawa University
  •  位相積空間の多面的考察Principal Investigator

    • Principal Investigator
      矢島 幸信
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kanagawa University
  •  緩和と相互作用を伴う確率振動子の漸近解析

    • Principal Investigator
      成田 清正
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kanagawa University

All 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2006 2005 2004 2003 Other

All Journal Article Presentation Book

  • [Book] Recent Progress in General Topology III (edited by K.P. Hart, J. van Mill and P. Simon), 分担執筆の題名:Covering properties (pp. 801-824)2014

    • Author(s)
      Paul Szeptycki and Yukinobu Yajima
    • Total Pages
      903
    • Publisher
      Atlantis Press
    • Data Source
      KAKENHI-PROJECT-24540147
  • [Book] "Covering properties" in Recent Progress in General Topology III2014

    • Author(s)
      P. Szeptycki and Yukinobu Yajima (edited by K.P.Hart, J van Mill and P. Simon)
    • Publisher
      Atlantis Press
    • Data Source
      KAKENHI-PROJECT-24540147
  • [Book] Recent Progress in General Topology III (edited by J. van Mill, K.P. Hart and P. Simon), 分担執筆の題名:Covering properties2013

    • Author(s)
      Paul Szeptycki and Yukinobu Yajima
    • Publisher
      Springer
    • Data Source
      KAKENHI-PROJECT-24540147
  • [Book] Computational Mathematics : Theory, Method and Applications分担執筆"A stream in the study on normality of Σ-products", 353-386(P.G.Chareton編集)2011

    • Author(s)
      Yukinobu Yajima
    • Total Pages
      443
    • Publisher
      Nova Science Publishers, Inc
    • Data Source
      KAKENHI-PROJECT-21540149
  • [Book] Inc., Computational Mathe-matics : Theory, Methods and Applications2011

    • Author(s)
      Yukinobu Yajima
    • Total Pages
      443
    • Publisher
      Nova Science Publi-shers
    • Data Source
      KAKENHI-PROJECT-21540149
  • [Journal Article] Undecidability of the cardinality of C*-embedded discrete subsets in products of natural numbers2020

    • Author(s)
      Yasushi Hirata and Yukinobu Yajima
    • Journal Title

      Topology Proceedings

      Volume: 56 Pages: 85-95

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05351
  • [Journal Article] C*-embedding implies P-embedding in products of ordinals2017

    • Author(s)
      Yasushi Hirata and Yukinobu Yajima
    • Journal Title

      Topology and its Applications

      Volume: 231 Pages: 251-165

    • Data Source
      KAKENHI-PROJECT-17K05351
  • [Journal Article] The D-property of certain products2016

    • Author(s)
      Yasushi Hirata and Yukinobu Yajima
    • Journal Title

      Topology and its Applications

      Volume: -

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-24540147
  • [Journal Article] Separation of diagonal in monotonically normal spaces and their products2015

    • Author(s)
      Yasushi Hirata and Yukinobu Yajima
    • Journal Title

      Topology and its Applications

      Volume: -

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-24540147
  • [Journal Article] Products of monotonically normal spaces with various special factors2014

    • Author(s)
      Yasushi Hirata, Nobuyuki Kemoto and Yukinobu Yajima
    • Journal Title

      Topology and its Applications

      Volume: 164 Pages: 45-86

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-24540147
  • [Journal Article] The sup=max problem for the extent of generalized metric spaces2013

    • Author(s)
      Yasushi Hirata and Yukinobu Yajima
    • Journal Title

      Commentations Mathematicae Universitatis Carolinae

      Volume: 54 Pages: 245-257

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540147
  • [Journal Article] Products of monotonically normal spaces with factors defined by topological games2012

    • Author(s)
      Yukinobu Yajima
    • Journal Title

      Topology and Appl

      Volume: 159 Pages: 1223-1235

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540149
  • [Journal Article] Products of monotonically normal spaces with factors defined by topological games2012

    • Author(s)
      Yukinobu Yajima
    • Journal Title

      Topology and its Applications

      Volume: 159 Pages: 1223-1235

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540147
  • [Journal Article] Normality covers of various products2011

    • Author(s)
      Yukinobu Yajima
    • Journal Title

      Topology and Appl

      Volume: 157 Pages: 1569-1592

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540149
  • [Journal Article] Products of monotonically normal spaces with compact spaces2011

    • Author(s)
      Yukinobu Yajima
    • Journal Title

      Topology and its Applications

      Volume: 158 Pages: 2085-2089

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540149
  • [Journal Article] Normality of products of monotonically normal spaces with compact spaces2011

    • Author(s)
      Yukinobu Yajima
    • Journal Title

      Topology and Appl

      Volume: 158 Pages: 2085-2089

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540149
  • [Journal Article] Normal covers of various products2010

    • Author(s)
      矢島幸信
    • Journal Title

      Topology and its Applications VOL.157

      Pages: 1569-1592

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540149
  • [Journal Article] Certain sequences with compact closure2009

    • Author(s)
      Nobuyuki Kemoto and Yukinobu Yajima
    • Journal Title

      Topology and Appl

      Volume: 156 Pages: 1348-1354

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540149
  • [Journal Article] Certain sequences with compact closure2009

    • Author(s)
      家本宣幸、矢島幸信
    • Journal Title

      Topology and its Applications VOL.156

      Pages: 1348-1354

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540149
  • [Journal Article] Normal covers of infinite products and normality of Σ-products2006

    • Author(s)
      Yukinobu Yajima
    • Journal Title

      Topology and its Applications (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540098
  • [Journal Article] Characterizations of normal covers of rectangular products2006

    • Author(s)
      Yukinobu Yajima
    • Journal Title

      Topology and its Applications (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540098
  • [Journal Article] Strong β-spaces and their countable products2006

    • Author(s)
      矢島幸信
    • Journal Title

      Houston Journal of Mathematics

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540098
  • [Journal Article] Characterizations of normal covers of rectangular products2006

    • Author(s)
      矢島幸信
    • Journal Title

      Topology and its Applications

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540098
  • [Journal Article] Normal covers of infinite products and normality of Σ-products2006

    • Author(s)
      矢島幸信
    • Journal Title

      Topology and its Applications

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540098
  • [Journal Article] Strong β-spaces and their countable products2006

    • Author(s)
      Yukinobu Yajima
    • Journal Title

      Houston Journal of Mathematics (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540098
  • [Journal Article] Characterizations of normal covers of rectangular products2005

    • Author(s)
      矢島幸信
    • Journal Title

      Topology and its Applications

    • Data Source
      KAKENHI-PROJECT-15540098
  • [Journal Article] A base property in paracompact products and its applications2004

    • Author(s)
      Yukinobu Yajima
    • Journal Title

      Topology and its Applications 142

      Pages: 19-30

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540098
  • [Journal Article] A base property in paracompact products and its applications2004

    • Author(s)
      矢島幸信
    • Journal Title

      Topology and its Applications 142

      Pages: 19-30

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540098
  • [Journal Article] Characterizations of of paracompactness and Lindelofness by separation property2003

    • Author(s)
      Yukinobu Yajima
    • Journal Title

      Proceedings of American Mathematical Society 131

      Pages: 1297-1302

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540098
  • [Journal Article] Characterizations of paracompactness and Lindelofuess by separation property2003

    • Author(s)
      矢島幸信
    • Journal Title

      Proceedings of American 131

      Pages: 1297-1302

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540098
  • [Presentation] 順序数による長方形的積空間のある基数関数による特性化について2019

    • Author(s)
      平田康史、矢島幸信
    • Organizer
      RIMS研究集会「一般位相幾何学の発展と諸分野との連携」
    • Data Source
      KAKENHI-PROJECT-17K05351
  • [Presentation] A characterization of certain products of ordinals and weakly inaccessible cardinals2019

    • Author(s)
      平田康史、矢島幸信
    • Organizer
      日本数学会秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-17K05351
  • [Presentation] On C*-embedded and C-embedded subsets in ∑-products2018

    • Author(s)
      矢島 幸信
    • Organizer
      2018年度General Topologyシンポジウム
    • Data Source
      KAKENHI-PROJECT-17K05351
  • [Presentation] 自然数の積空間におけるC*-埋込みされた離散な部分集合の濃度の決定不可能性について2018

    • Author(s)
      矢島 幸信,平田 康史
    • Organizer
      RIMS研究集会「一般位相幾何学の進展と諸問題」
    • Data Source
      KAKENHI-PROJECT-17K05351
  • [Presentation] Undecidability of the cardinality of C*-embedded discrete subsets in products of natural numbers2018

    • Author(s)
      矢島 幸信,平田 康史
    • Organizer
      2018年度日本数学会秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-17K05351
  • [Presentation] Undecidability of the existence of C*-embedded but not C-embedded subsets in a product of natural numbers2017

    • Author(s)
      Yukinobu Yajima
    • Organizer
      Special conference of set-theoretic topology (held at Auburn in USA)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05351
  • [Presentation] Undecidability of the existence of C*-embedded but not C-embedded subsets in a product of natural numbers2017

    • Author(s)
      平田 康史,矢島 幸信
    • Organizer
      日本数学会春季総合分科会
    • Data Source
      KAKENHI-PROJECT-17K05351
  • [Presentation] 可算離散空間の積へのC*-,C- および P-埋め込み2017

    • Author(s)
      平田 康史,矢島 幸信
    • Organizer
      集合論的・幾何学的トポロジーの動向と諸分野との連携(RIMS共同研究)
    • Data Source
      KAKENHI-PROJECT-17K05351
  • [Presentation] Three embeddings and their implications in products of generalized metric spaces2017

    • Author(s)
      平田 康史,矢島 幸信
    • Organizer
      日本数学会春季総合分科会
    • Data Source
      KAKENHI-PROJECT-17K05351
  • [Presentation] Separation of diagonal and the D-property in products2015

    • Author(s)
      Yukinobu Yajima
    • Organizer
      Symposium on General Topology
    • Place of Presentation
      南京大学(南京市,中国)
    • Year and Date
      2015-03-14
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540147
  • [Presentation] On the D-property of certain products2014

    • Author(s)
      平田康史,矢島幸信
    • Organizer
      RIMS研究集会「集合論的・幾何学的トポロジーと種々の分野の交流」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2014-10-24
    • Data Source
      KAKENHI-PROJECT-24540147
  • [Presentation] 無限積空間におけるD-空間性2014

    • Author(s)
      平田康史,矢島幸信
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      広島大学
    • Year and Date
      2014-09-25
    • Data Source
      KAKENHI-PROJECT-24540147
  • [Presentation] Products of monotonically normal spaces with a compact space2012

    • Author(s)
      Yukinobu Yajima
    • Organizer
      International Conference on Topology and the related fields
    • Place of Presentation
      Nanjing Normal University
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540147
  • [Presentation] Products of monotonically normal spaces with various special factors2012

    • Author(s)
      Yukinobu Yajima
    • Organizer
      特になし (南京大学からの講演依頼)
    • Place of Presentation
      Nanjing University
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540147
  • [Presentation] Products of monotonically normal spaces with factors defined by topological games2011

    • Author(s)
      矢島幸信
    • Organizer
      第46回位相空間論シンポジウム
    • Place of Presentation
      静岡大学理学部
    • Year and Date
      2011-06-03
    • Data Source
      KAKENHI-PROJECT-21540149
  • [Presentation] 集合論から位相空間論へ(流れに逆らって)2010

    • Author(s)
      矢島幸信
    • Organizer
      第45回位相空間論シンポジウム
    • Place of Presentation
      大阪府立大学
    • Year and Date
      2010-06-05
    • Data Source
      KAKENHI-PROJECT-21540149
  • [Presentation] Normality and products of topological games2010

    • Author(s)
      Yukinobu Yajima
    • Organizer
      International Conference Japan-Mexico on Topology and its Applications
    • Place of Presentation
      Universidad de Colima, Colima(Mexico)
    • Year and Date
      2010-09-30
    • Data Source
      KAKENHI-PROJECT-21540149
  • [Presentation] Normality of products and topological games2010

    • Author(s)
      Yukinobu Yajima
    • Organizer
      International Conference Japan-Mexico on Topology and its Applications
    • Place of Presentation
      Universidad de Colima, Colima (Mexico)
    • Year and Date
      2010-09-30
    • Data Source
      KAKENHI-PROJECT-21540149
  • [Presentation] The products of a monotonically normal space and a compact space and their normality2009

    • Author(s)
      Yukinobu Yajima
    • Organizer
      International Conference on Topology and its Applications
    • Place of Presentation
      Hacettepe University, Ankara(Turkey)
    • Year and Date
      2009-07-07
    • Data Source
      KAKENHI-PROJECT-21540149
  • [Presentation] Normality follows from orthocompactness in products2009

    • Author(s)
      矢島幸信
    • Organizer
      General Topology シンポジウム
    • Place of Presentation
      大分大学丹野原キャンパス
    • Year and Date
      2009-12-22
    • Data Source
      KAKENHI-PROJECT-21540149
  • [Presentation] The products of a monotonically normal space and a compact space and their normality2009

    • Author(s)
      矢島幸信
    • Organizer
      International Conference on Topology and its applications
    • Place of Presentation
      Hacettepe University, アンカラ(トルコ)
    • Year and Date
      2009-07-07
    • Data Source
      KAKENHI-PROJECT-21540149
  • [Presentation] Normality follows from orthocompactness in products2009

    • Author(s)
      矢島幸信
    • Organizer
      General Topologyシンポジウム
    • Place of Presentation
      大分大学福祉教育科学部
    • Year and Date
      2009-12-18
    • Data Source
      KAKENHI-PROJECT-21540149
  • [Presentation] Diagonal Separation in monotone normality and products

    • Author(s)
      Yukinobu Yajima
    • Organizer
      International Conference on Topology and Geometry 2013 (Joint with the 6th Japan- Mexico Topology Symposium)
    • Place of Presentation
      Shimane University
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540147
  • 1.  SAKAI Masami (60215598)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 2.  KEMOTO Nobuyuki (70161825)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 3 results
  • 3.  SAKAI Kazuhiro (30205702)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 4.  HIRATA Yasushi (70375400)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 6 results
  • 5.  成田 清正 (10211450)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 6.  立花 俊一 (50017159)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 7.  OHTA Haruto (40126769)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 8.  泉池 敬司 (80120963)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 9.  阿部 吉弘 (10159452)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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