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MIYATA Takahisa
Graduate School of Human Development and Environment / Department of Human Environmental Science
Professor

Researcher basic information

■ Degree
  • Ph.D.
■ Research Keyword
  • topology, shape theory and its applications
■ Research Areas
  • Natural sciences / Geometry

Research activity information

■ Paper
  • Metrization in small and large scale structures
    MIYATA TAKAHISA
    2017, Bulletin of the Polish Academy of Sciences, 65, 81 - 92

  • APPROXIMATE MAPS CHARACTERIZ INGINJECTIVITY AND SURJECTIVITY OF MAPS
    Takahisa Miyata
    2017, GLASNIK MATEMATICKI, 52(1) (1), 185 - 203

  • Factorization of uniformly continuous maps through uniform shape fibrations
    MIYATA TAKAHISA
    Croatian Mathematical Society and University of Zagreb, Jun. 2015, Glasnik Matematicki

  • Takahisa Miyata
    Mar. 2014, TOPOLOGY AND ITS APPLICATIONS, 164(1) (1), 146 - 161

  • A SHAPE THEORETIC APPROACH TO GENERALIZED COHOMOLOGICAL DIMENSION WITH RESPECT TO TOPOLOGICAL SPACES
    Takahisa Miyata
    2014, GLASNIK MATEMATICKI, 49(1) (1), 195 - 220

  • Assouad-Nagata dimension and finite-to-one Lipschitz maps
    Takahisa Miyata, Takehiro Yoshimura
    Jun. 2013, Topology Proceedings, Vol. 42, 43-48

  • Takahisa Miyata, Ziga Virk
    2013, FUNDAMENTA MATHEMATICAE, 223(1) (1), 83 - 97

  • Approximate extension property of mappings
    Takahisa Miyata
    Jan. 2012, Topology and its Applications, 159・3・921-932

  • Takahisa Miyata
    Jan. 2011, PUBLICATIONES MATHEMATICAE-DEBRECEN, 78(1) (1), 15 - 35

  • Takahisa Miyata
    Sep. 2010, TOPOLOGY AND ITS APPLICATIONS, 157(14) (14), 2194 - 2224
    Link to Kobe Univ. Repository (Kernel)

  • An approximate system approach to shape fibrations
    Takahisa Miyata
    2009, Glasnik Matematicki, Vol. 44, 215-240

  • The theorem of Pontrjagin and Schnirelmann and approximate resolutions
    Takahisa Miyata
    2008, New Zealand Journal of Mathematics, Vol. 38, 121-128

  • Pull-backs and fibrations in approximate pro-categories
    Takahisa Miyata
    2008, Glasnik Matematicki, vol. 43 (2008), 451 - 479

  • Fibrations in the category of ANR's
    Takahisa Miyata
    2007, Bulletin of the Polish Academy of Sciences, 55

  • Approximate sequences and Hausdorff dimension
    Takahisa Miyata, Tadashi Watanabe
    2005, Topology Proceedings, Vol 29, No 1, 2005, 29(1) (1), 243 - 265

  • T Miyata, T Watanabe
    Jul. 2003, TOPOLOGY AND ITS APPLICATIONS, 132(1) (1), 49 - 69
    Link to Kobe Univ. Repository (Kernel)

  • BiLipschitz maps and approximate resolutions
    MIYATA, Takahisa, Watanabe Tadashi
    2003, Glasnik Matematicki, 38, 129-155

  • Approximate resolutions and the fractal category
    MIYATA, Takahisa, Watanabe Tadashi
    2003, Glasnik Matematicki, 38, 377-393

  • An approximate system approach to box-counting dimension
    MIYATA, Takahisa, Watanabe Tadashi
    2003, Topology and its Applications, 132, 49-69

  • T Miyata, T Watanabe
    Jul. 2002, TOPOLOGY AND ITS APPLICATIONS, 122(1-2) (1-2), 353 - 375
    Link to Kobe Univ. Repository (Kernel)

  • Strong expansions for triads of spaces
    MIYATA, Takahisa, Watanabe Tadashi
    2002, Glasnik Matematicki, 37, 147 - 161

  • Shape aspherical compacta - applications of a theorem of Kan and Thurston to cohomological dimension and shape theories
    MIYATA, Takahisa
    2001, Proceedings of the American Mathematical Society, 129, 2783-2788

  • n-shape equivalence and triads of spaces
    MIYATA, Takahisa
    2001, Glasnik Matematicki, 36, 195 - 210

  • Generalized stable shape and duality
    MIYATA, Takahisa
    2001, Topology and its Applications, 109, 75 - 88

  • Approximate resolutions of uniform spaces
    MIYATA, Takahisa, Watanabe Tadashi
    2001, Topology and its Applications, 113, 211-241

  • Approximate resolutions and fractal geometry
    MIYATA, Takahisa, Watanabe Tadashi
    2001, RIMS Kokyuroku, 1248, 24-31

  • Vietoris-Begle theorem for spectral pro-homology
    T Miyata, T Watanabe
    2001, PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 130(2) (2), 595 - 598

  • On shape theory and its applications
    MIYATA, Takahisa
    2000, RIMS Kokyuroku, 1188, 46-54

  • Moore spaces and cohomological dimension
    MIYATA, Takahisa
    2000, Bulletin of the Polish Academy of Sciences, 48, 231 -235

  • Linux and its applications to education environment II
    MIYATA, Takahisa
    2000, 静岡理工科大学紀要, 8, 259-269

  • Generalized stable shape and Brown's representation theorem
    T Miyata, J Segal
    Jun. 1999, TOPOLOGY AND ITS APPLICATIONS, 94(1-3) (1-3), 275 - 305

  • Generalized stable shape and Brown's representation theorem
    T Miyata, J Segal
    Jun. 1999, TOPOLOGY AND ITS APPLICATIONS, 94(1-3) (1-3), 275 - 305

  • Shape theory of triads
    MIYATA, Takahisa
    1999, Glasnik Matematicki, 34, 301-315

  • Linux and its applications to education environment
    MIYATA, Takahisa
    1999, 静岡理工科大学紀要, 7, 175-181

  • Uniform Vietoris-Begle theorems
    MIYATA, Takahisa
    1998, Quaestiones Mathematicae, 21, 39 - 47

  • Approximate resolutions of uniform spaces
    MIYATA, Takahisa, Watanabe Tadashi
    1998, General Topology Symposium, , 83-89

  • Shape and uniform properties of hyperspaces of noncompact spaces
    MIYATA, Takahisa, SEGAL, Jack
    1997, Glasnik Matematicki, 32, 99 - 124

  • On hyperspaces of noncompact spaces
    MIYATA, Takahisa, SEGAL, Jack
    1996, 沼津高専研究報告書, 31, 49-56

  • Extension type and homology
    MIYATA, Takahisa
    1996, Bulletin of the Polish Academy of Sciences, 44, 1-4

  • Cohomological dimension of uniform spaces
    MIYATA, Takahisa
    1996, Quaestiones Mathematicae, 19, 137 - 162

  • Homology, cohomology, and uniform shape
    Takahisa Miyata
    1995, Glasnik Matematicki, Vol. 30, 85 - 109

  • Generalized stable shape and the Whitehead theorem
    Takahisa Miyata, Jack Segal
    1995, Topology and its Applications, Vol 63, 139 - 164

  • Uniform shape theory
    Takahisa Miyata
    1994, Glasnik Matematicki, Vol. 29, 123 - 168

  • Mixed strategy for tree search
    Takahisa Miyata, S. S. Iyengar, E. Haq
    1989, Southeastcon '89 Proceedings 'Energy and Information Technologies in the Southeast', IEEE, Vol. 3, 995-998

■ MISC
  • 手で触る数理情報教育
    宮田 任寿, Kosaku Nagasaka, 高橋 正
    Mar. 2007, 神戸大学発達科学部研究紀要, 第14巻,第2号
    Link to Kobe Univ. Repository (Kernel)

  • On shape theory and its applications (Research of Set-Theoretic and Geometric Topology and Their Applications)
    Miyata Takahisa
    Kyoto University, Feb. 2001, RIMS Kokyuroku, 1188, 46 - 54

  • STABLE SHAPE AND BROWN'S REPRESENTATION THEOREM (General and Geometric Topology)
    Miyata Takahisa
    Kyoto University, Jan. 1999, RIMS Kokyuroku, 1074, 38 - 46

  • Extension property and cohomological dimension
    Takahisa Miyata
    1995, General Topology Symposium, 49 - 55

  • Classifying spaces for dimension and extension property
    Takahisa Miyata
    1995, Numazu College of Technology Technical Report, Vol. 30, 83 - 86

■ Books And Other Publications
  • Progress in Mathematical Biology Research
    Takahisa Miyata
    Nova Science Publishers, Inc., Sep. 2008

  • キーワード 人間と発達［増補改訂版］ V. 生活とテクノロジー
    丸谷 宣子, 井上 真理, 青木 務, 平山 洋介, 市橋 秀樹, 浜口 八朗, 高橋 正, 長坂 耕作, 矢野 澄雄, 福田 博也, 城 仁士, 阪本 雄二, 高橋 譲嗣, 高橋 真, 白倉 暉弘, 稲葉 太一, 白杉 直子, 近江戸 伸子, 宮田 任寿, 澤 宗則, 二宮 厚美
    大学教育出版, Apr. 2007

■ Lectures, oral presentations, etc.
  • Approximate resolutions and fractal geometry
    MIYATA, Takahisa
    Osaka Meeting on Geometric Topology, Jul. 2002, 大阪, 日本

  • Approximate resolutions and Hausdorff dimension
    MIYATA, Takahisa
    International Conference on Topology and its Applications, joined with the Second Japan-Mexico Topology Symposium (Topology in Matsue), Jun. 2002, 日本数学会, 島根大学, 松江, 日本

  • Lipschitz maps and approximate resolutions
    MIYATA, Takahisa
    一般・幾何学的トポロジーとその応用に関する研究集会, Oct. 2001, 京都大学数理解析研究所, 京都, 日本

  • On shape theory and its applications
    MIYATA, Takahisa
    集合論的・幾何学的トポロジーとその応用に関する研究集会, Oct. 2000, 京都大学数理解析研究所, 京都, 日本

  • Shape theory from the viewpoint of homotopy theory
    MIYATA, Takahisa
    International Conference on Topology and its Applications, Jul. 1999, 神奈川大学, 横浜, 日本

  • Approximate resolutions of uniform spaces
    MIYATA, Takahisa, WATANABE, Tadashi
    International Conference on Geometric Topology, Oct. 1998, University of Zagreb, Dubrovnik, Croatia

  • Stable shape and Brown's representation theorem
    MIYATA, Takahisa
    一般及び幾何学的トポロジー研究集会, Mar. 1998, 京都大学数理解析研究所, 京都, 日本

■ Affiliated Academic Society
  • American Mathematical Society

■ Research Themes
TOP