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J-GLOBAL ID：200901002434866643
Update date: Feb. 01, 2024
Koyama Akira
コヤマ アキラ | Koyama Akira
Affiliation and department：
Job title：
Professor
Research field (1)：
Geometry
Research keywords (1)：
Geometric Topology, Dimension Theory, Cohomological Dimension, Continuum Theory
Research theme for competitive and other funds (23)：
- 2016 - 2021 次元論および距離空間の埋蔵問題から考察するcoarse幾何学の研究
- 2016 - 2020 次元論および距離空間の埋蔵問題から考察するcoarse幾何学の研究
- 2012 - 2016 Embedding problems related to asymptotic dimension in coarse geometry
- 2010 - 2014 Coarse analyzing metric spaces of non-positive curvature and topological analyzing remainders of its compactifications
- 2010 - 2013 Study of groups of measure-preserving homeomorphisms and volume-preserving diffeomorphisms of noncompact manifolds
- 2009 - 2011 Cohomological dimension theory in coarse geometry
- 2007 - 2009 Coarse geometry and compactifications that are metric-dependent, with relation to Novikov conjecture
- 2007 - 2008 Study of various groups of homeomorphisms of noncompact manifolds
- 2004 - 2006 Research on Jorgensen groups and classical Schottky groups
- 2004 - 2006 Construction of exotic homology manifolds and generalization of Quinn index
- 2004 - 2005 Dimension, metrics and computability in metric spaces
- 2002 - 2003 Research on cohomological dimension of topological spaces and one of Coxeter groups
- 2000 - 2002 Geometry of Points at Infinity
- 1999 - 2000 Microlocal filtering with multiwavelets
- 1997 - 1998 Compactifications of Riemannian manifolds and points at infinity
- 1992 - 1992 距離空間,及びそれに関連する諸分野について
- 1991 - 1991 多様体の胞体分割とコホモロジ-次元
- 定常過程の極限定理とそれらの統計学への応用
- 弧長空間とその上の測地線
- 階数3のインシデンス幾何
- 微分可能多様体上のRiemann計量と距離構造
- Various Aspects of Topology
- 新領域科目「かたちの数理科学」と博士課程後期における数理科学教育
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Papers (16)：
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Akira Koyama, Vesko Valov. On homologically locally connected spaces. Topology and it’s Applications. 2019. 260. 1. 57-69
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A. Koyama, J. Krasinkiewicz, S. Spiez. Surfaces in products of two curves. TOPOLOGY AND ITS APPLICATIONS. 2015. 196. 618-640
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Akira Koyama, Jozef Krasinkiewicz, Stanislaw Spiez. EMBEDDINGS INTO PRODUCTS AND SYMMETRIC PRODUCTS - AN ALGEBRAIC APPROACH. HOUSTON JOURNAL OF MATHEMATICS. 2012. 38. 2. 611-641
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Akira Koyama, Jozef Krasinkiewicz, Stanislaw Spiez. GENERALIZED MANIFOLDS IN PRODUCTS OF CURVES. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. 2011. 363. 3. 1509-1532
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A. Koyama, I. Stasyuk, E. D. Tymchatyn, A. Zagorodnyuk. CONTINUOUS LINEAR EXTENSION OF FUNCTIONS. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. 2010. 138. 11. 4149-4155
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Books (2)：
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位相空間論 : 現代数学への基礎
森北出版 2021 ISBN:9784627078611
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Topics in Dimension Theory - Recent Progress in General Topology III
Atlantis Press 2014 ISBN:9789462390232
Lectures and oral presentations (6)：
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Boltyanskii-Kodamaの例と関連する話題について
(一般トポロジーとその関連分野の進捗 2023)
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Homologically ANR - revised
(Conference on geometric topology and related topics - Dedicated on the 65 birthday Sergey A. Antonysn 2019)
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Homological properties of decomposition spaces
(Geometric Topology and Geometry of Banach Spaces 2017)
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Characterizations of n-dimensional compacta in the products of n curves
(Dubrovnik VIII - Geometric Topology, Geometric Group Theory and Dynamical Systems 2015)
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On embeddings into products of curves - An algebraic approach
(28th Summer Conference on Topology and its Applications 2013)
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Education (2)：
- - 1977 Tokyo University of Educatiion Graduate School, Division of Natural Science
- Tokyo University of Education Faculty of Science Department of Mathematics
Professional career (1)：
- Docter of Science (University of Tsukuba)
Association Membership(s) (2)：
American Mathematical Society
, The Mathematical Society of Japan
