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Study on the relation between local connectedness and uniform continuity on metric spaces as well as topological groups

Research Project

Project/Area Number 19540072
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Geometry
Research InstitutionShizuoka University

Principal Investigator

YAMADA Kohzo  Shizuoka University, 教育学部, 教授 (00200717)

Co-Investigator(Kenkyū-buntansha) OHTA Haruto  静岡大学, 教育学部, 教授 (40126769)
MIYATA Yoshimasa  静岡大学, 教育学部, 名誉教授 (50022207)
Project Period (FY) 2007 – 2009
Project Status Completed (Fiscal Year 2009)
Budget Amount *help
¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Fiscal Year 2009: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2008: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2007: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Keywords位相群 / 自由可換位相群 / 層空間 / 閉部分空間 / 距離空間 / 自由位相群 / 一様連続関数 / ストレート空間 / 一様局所連結空間 / 積空間 / コンパクト空間
Research Abstract

距離空間(距離が定義された空間)において,すべてのコンパクト距離空間との積空間がストレートになることの必要十分条件が得られた。さらに,ある距離空間が,収束点列とその収束点からなる空間との積空間がストレートであれば,その距離空間が全有界になることが証明された。

Report

(4 results)
  • 2009 Annual Research Report   Final Research Report ( PDF )
  • 2008 Annual Research Report
  • 2007 Annual Research Report
  • Research Products

    (8 results)

All 2009 2008 2007 Other

All Journal Article (5 results) (of which Peer Reviewed: 1 results) Presentation (3 results)

  • [Journal Article] Sequences of semicontinuous functions accompanying continuous functions2009

    • Author(s)
      大田春外, 酒井政美
    • Journal Title

      Topology Appl 156,no.17

      Pages: 2683-2691

    • NAID

      120001662293

    • Related Report
      2009 Final Research Report
  • [Journal Article] On the Galois module structure of cyclic Kummer extensions2008

    • Author(s)
      宮田由雅
    • Journal Title

      J. Algebra 320,no.9

      Pages: 3461-3480

    • Related Report
      2009 Final Research Report
  • [Journal Article] On Galois structure of the integers in elementary abelian extensions of local number fields2007

    • Author(s)
      宮田由雅
    • Journal Title

      J. Number Theory 125,no.2

      Pages: 442-458

    • Related Report
      2009 Final Research Report
  • [Journal Article] Products of straight spaces with compact spaces2007

    • Author(s)
      西島楠雄, 山田耕三
    • Journal Title

      Applied General Topology 8

      Pages: 151-159

    • Related Report
      2009 Final Research Report
  • [Journal Article] Products of straight spaces with compact spaces

    • Author(s)
      Iiusuo Nishijima
    • Journal Title

      Applied General Topology「掲載確定」

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Presentation] Sequences of semicontinuous functions accompanying contimuous functions2009

    • Author(s)
      大田春外, 酒井政美
    • Organizer
      日本数学科い2009年度秋季総合分科会
    • Place of Presentation
      大阪大学
    • Year and Date
      2009-09-26
    • Related Report
      2009 Final Research Report
  • [Presentation] 問題と自由可換位相群2009

    • Author(s)
      山田耕三
    • Organizer
      第44回位相空間論シンポジウム
    • Place of Presentation
      島根大学総合理工学部
    • Year and Date
      2009-05-31
    • Related Report
      2009 Final Research Report
  • [Presentation] M_3⇒M_1問題と自由可換位相群2009

    • Author(s)
      山田耕三
    • Organizer
      第44回位相空間論シンポジウム
    • Place of Presentation
      島根大学総合理工学部
    • Year and Date
      2009-05-31
    • Related Report
      2009 Annual Research Report

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Published: 2007-04-01   Modified: 2016-04-21  

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