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Applications of knot theory to game and sciences

Research Project

Project/Area Number 24654015
Research Category

Grant-in-Aid for Challenging Exploratory Research

Allocation TypeMulti-year Fund
Research Field Geometry
Research InstitutionOsaka City University

Principal Investigator

KAWAUCHI Akio  大阪市立大学, 大学院理学研究科, 教授 (00112524)

Co-Investigator(Renkei-kenkyūsha) KISHIMOTO Kengo  大阪工業大学, 工学部, 講師 (70587774)
SHIMIZU Ayaka  群馬工業高等専門学校, 一般教科(自然科学), 助教 (40638764)
KANENOBU Taizo  大阪市立大学, 大学院理学研究科, 教授 (00152819)
TAYAMA Ikuo  大阪市立大学, 大学院理学研究科, 研究員 (00382036)
MORIUCHI Hiromasa  近畿大学, 医学部, 講師 (20453128)
Project Period (FY) 2012-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2012: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Keywords結び目理論 / 領域選択ゲーム / 領域点灯ゲーム / 量子スイッチ / 結び目パスワード
Outline of Final Research Achievements

As an applied study of the game“Region Select", the trial product of a switch system "Quantum Switch" was constructed. “Region Select" is a figure game.To study how infants who do not well understand numbers can acquire mathematical algorithms with the infant version game, some data were acquired and analyzed. To explain effects of this figure game, a function of brain in the case of mathematical thinking is studied whose result is reported in an article and a book. An elderly version“Region Select" was constructed to use for rehabilitations of visuospatial cognitive function by adopting opinions of a doctor of Osaka City University, Geriatric Medicine. iPads equipped with it are lent to a care facility of the elderly person connecting the contract of a joint research with us for a verification test.

Report

(4 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Research-status Report
  • 2012 Research-status Report
  • Research Products

    (34 results)

All 2015 2014 2013 2012 Other

All Journal Article (7 results) (of which Peer Reviewed: 5 results,  Open Access: 1 results) Presentation (17 results) (of which Invited: 17 results) Book (4 results) Remarks (5 results) Patent(Industrial Property Rights) (1 results)

  • [Journal Article] Component-conservative invertibility of links and Samsara 4-manifolds on 3-manifolds2014

    • Author(s)
      Akio Kawauchi
    • Journal Title

      Asia Pacific Journal of Mathematics

      Volume: 1 Pages: 86-106

    • Related Report
      2014 Annual Research Report 2013 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Splitting a 4-manifold with infinite cyclic fundamental group, revised in a definite case2014

    • Author(s)
      Akio Kawauchi
    • Journal Title

      Journal of Knot Theory and Its Ramifications

      Volume: 23 Issue: 05 Pages: 1450029-1450029

    • DOI

      10.1142/s0218216514500291

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The Alexander polynomials of immersed concordant links2014

    • Author(s)
      Akio Kawauchi
    • Journal Title

      Boletin de la Sociedad Matematica Mexicana

      Volume: 20 Issue: 2 Pages: 559-578

    • DOI

      10.1007/s40590-014-0023-9

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] トポロジーと数学のいろいろな分野との関連2014

    • Author(s)
      河内明夫
    • Journal Title

      数理科学

      Volume: 11 Pages: 7-12

    • Related Report
      2014 Annual Research Report
  • [Journal Article] Splitting a 4-manifold with infinite cyclic fundamental group, revised2013

    • Author(s)
      Akio Kawauchi
    • Journal Title

      Journal of Knot Theory and Its Ramifications

      Volume: 22 Issue: 14 Pages: 1350081-1350081

    • DOI

      10.1142/s0218216513500818

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] 結び目理論の科学への応用-プリオン分子モデルとこころのモデル を中心として (韓国語版)2013

    • Author(s)
      河内明夫
    • Journal Title

      News letter of the Korean Mathematical Society

      Volume: 148 Pages: 10-20

    • Related Report
      2012 Research-status Report
  • [Journal Article] Topology of prion proteins2012

    • Author(s)
      Akio Kawauchi
    • Journal Title

      Journal of Mathematics and System Science

      Volume: 2 Pages: 237-248

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Presentation] Knot Theory and Sciences2015

    • Author(s)
      Akio Kawauchi
    • Organizer
      JST SAKURA Science Plan for Shimae University and Chonbuk National University
    • Place of Presentation
      島根大学(島根県・松江市)
    • Year and Date
      2015-02-12
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Equivalence of chord diagrams for a ribbon surface-link.2014

    • Author(s)
      Akio Kawauchi
    • Organizer
      Colloquium at The Chinese University of Hong Kong
    • Place of Presentation
      Hong Kong(China)
    • Year and Date
      2014-11-26
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] The equivalence on chord diagrams of a ribbon surface-link2014

    • Author(s)
      河内明夫
    • Organizer
      東北結び目セミナー
    • Place of Presentation
      カレッジプラザ(秋田県・秋田市)
    • Year and Date
      2014-10-18
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Unknotting notions for spatial graphs2014

    • Author(s)
      Akio Kawauchi
    • Organizer
      The 2014 KMJ Conference for Accreditation Strategies
    • Place of Presentation
      Daegue(Korea)
    • Year and Date
      2014-08-08
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] A chord diagram for a ribbon surface-link2014

    • Author(s)
      Akio Kawauchi
    • Organizer
      6th KOOK-TAPU Joint Seminar
    • Place of Presentation
      Daejeon(Korea)
    • Year and Date
      2014-07-22
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] 結び目の不思議な世界と数学2013

    • Author(s)
      河内明夫
    • Organizer
      文部科学省委託事業「数理学生応援プロジェクト」
    • Place of Presentation
      島根大学総合理工学部
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] 結び目の不思議な世界2013

    • Author(s)
      河内明夫
    • Organizer
      大阪市立大学文化交流センター夏期講座
    • Place of Presentation
      大阪駅前第2ビル6階
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] 結び目の不思議な世界の数学の旅2013

    • Author(s)
      河内明夫
    • Organizer
      東京女子大学学会講演会
    • Place of Presentation
      東京女子大学
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] 結び目をどのように教育するか2013

    • Author(s)
      河内明夫
    • Organizer
      N-KOOKセミナー
    • Place of Presentation
      大阪駅前第2ビル6階
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Tabulation of 3-manifolds of lengths up to 102013

    • Author(s)
      Akio Kawauchi
    • Organizer
      9th East Asian School of Knots and Related Topics
    • Place of Presentation
      University of Tokyo
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] On universal 4-manifolds for 3-manifolds2013

    • Author(s)
      Akio Kawauchi
    • Organizer
      2013 TAPU Winter Workshop on Knots and Related Topics
    • Place of Presentation
      Kyungpook National University(韓国)
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] On 4-manifolds with every 3-manifold embedded2013

    • Author(s)
      河内 明夫
    • Organizer
      E-KOOK セミナー
    • Place of Presentation
      大阪市立大学学術情報総合センター10 階
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] Example of a 4-manifold with eve ry close d 3-manifold embedded2013

    • Author(s)
      河内 明夫
    • Organizer
      Knots in east Osaka VI
    • Place of Presentation
      大阪工業大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] Homology of an open 4-manifold with every closed 3-manifold embedded2012

    • Author(s)
      Akio Kawauchi
    • Organizer
      2012 TAPU Workshop on Knot Theory (The 4th TAPUKOOK Joint Seminar on Knots and Related Topics) and TAPU Summer School on Quandle Theory
    • Place of Presentation
      Pusan National University(韓国)
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] On non-homeomorphic prime link exteriors with the same fundamental group2012

    • Author(s)
      河内明夫
    • Organizer
      2012琉球結び目セミナー
    • Place of Presentation
      那覇市ぶんかテンブス館
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] Signature theorem for an ∞-cyclic covering of a non-compact even-dimensional manifold2012

    • Author(s)
      河内明夫
    • Organizer
      東北結び目セミナー2012
    • Place of Presentation
      山形大学小白川キャンパス
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] On the homology of an open 4-manifold with every closed 3-manifold embedded2012

    • Author(s)
      河内明夫
    • Organizer
      4次元トポロジー
    • Place of Presentation
      広島大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Book] 「結び目の数学教育」への導入―小学生・中学生・高校生・大学生を対象として―第4号(河内明夫・柳本朋子編)2014

    • Author(s)
      河内明夫
    • Total Pages
      182
    • Publisher
      「結び目の数学教育」研究プロジェクト
    • Related Report
      2013 Research-status Report
  • [Book] 結び目理論とゲーム2013

    • Author(s)
      河内明夫, 岸本健吾, 清水理佳
    • Total Pages
      115
    • Publisher
      朝倉書店
    • Related Report
      2013 Research-status Report
  • [Book] Teaching and Learning of Knot Theory in School Mathematics2012

    • Author(s)
      Akio Kawauchi (editor)
    • Total Pages
      188
    • Publisher
      Springer Verlag
    • Related Report
      2012 Research-status Report
  • [Book] Chapter 7, Mind-Knots and Mind-Relations: Knot Theory Applied to Psychology, in: "Qualitative Mathematics for the Social Sciences, Mathematical Models for Research on Cultural Dynamics"(edited by Lee Rudolph)2012

    • Author(s)
      Akio Kawauchi
    • Publisher
      Routledge
    • Related Report
      2012 Research-status Report
  • [Remarks] 河内明夫著作

    • URL

      http://www.sci.osaka-cu.ac.jp/~kawauchi/index.html

    • Related Report
      2014 Annual Research Report
  • [Remarks] 大阪市立大学数学研究所ホームページ業績データ

    • URL

      http://www.sci.osaka-cu.ac.jp/math/OCAMI/gyouseki.html

    • Related Report
      2014 Annual Research Report
  • [Remarks] 河内明夫著作

    • URL

      http://www.sci.osaka-cu.ac.jp/~kawauchi/index.html

    • Related Report
      2013 Research-status Report
  • [Remarks] 大阪市立大学数学研究所ホームページ業績データ

    • URL

      http://www.sci.osaka-cu.ac.jp/math/OCAMI/data/data_facuty2013.pdf

    • Related Report
      2013 Research-status Report
  • [Remarks] 河内明夫著作

    • URL

      http://www.sci.osaka-cu.ac.jp/̃kawauchi/index.html

    • Related Report
      2012 Research-status Report
  • [Patent(Industrial Property Rights)] 結び目理論を応用した量子スイッチシステム2012

    • Inventor(s)
      河内明夫、 岸本 健吾、 清水理佳
    • Industrial Property Rights Holder
      河内明夫、 岸本 健吾、 清水理佳
    • Industrial Property Rights Type
      特許
    • Industrial Property Number
      2012-094282
    • Filing Date
      2012-04-17
    • Related Report
      2012 Research-status Report

URL: 

Published: 2013-05-31   Modified: 2019-07-29  

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