Hisao Kato

カトウヒサオ | Hisao Kato

Affiliation and department：

Research field (1)： Geometry

Research theme for competitive and other funds (31)：

2019 - 2022 カオス力学系に出現する不変集合の複雑性の研究
2016 - 2018 位相空間論と連続体論を用いたカオス力学系の幾何構造の研究
2014 - 2017 Geometric-topological study on dynamics of infinite dimensional linear operators
2013 - 2016 Study of dynamical systems by use of general topology and geometric topology
2010 - 2012 Study of groups of measure-preserving homeomorphisms and volume-preserving diffeomorphisms of noncompact manifolds

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Papers (125)：

Takens-type reconstruction theorems of one-sided dynamical systems. Nonlinearity. 2023. 36. 1571-1592
Kato Hisao. Jaworski-type embedding theorems of one-sided dynamical systems. Fund. Math. 2021. 253. 205-218
Kato Hisao, Matsumoto Masahiro. Finite-to-one zero-dimensional covers of dynamical systems. J. Math. Soc. Japan,. 2020. 72. 819-845
Kato,Hisao. Topological entropy and IE-tuples of indecomposable continua. Fund. Math. 2019. 247. 2. 131-149
Kato,Hisao. Monotone maps of G-like continua with positive topological entropy yield indecomposability. Proc. AMS. 2019. 147. 10. 4363-4370

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MISC (14)：

Kato Hisao. The nonexistence of expansive homeomorphisms on hereditarily indecomposable compacta (General and geometric topology today and their problems). RIMS Kokyuroku. 2008. 1578. 36-39
Kato Hisao. Numerical analysis of normal sequences of finite open covers and Pontrjagin-Schnirelmann's theorem(General Topology, Geometric Topology and Their Applications). RIMS Kokyuroku. 2007. 1531. 85-93
Kato Hisao. Geometry of finite-dimensional maps (Set Theoretic and Geometric Topology and Its Applications). RIMS Kokyuroku. 2005. 1419. 82-86
加藤久男. 拡大同相写像とカントール集合となる極小集合について (一般および幾何学的トポロジーにおける諸問題と応用). 数理解析研究所講究録. 2003. 1303. 68-72
Kato Hisao. SHIFT MAPS AND ATTRACTORS(Set-theoretic Topology and Geometric Topology). RIMS Kokyuroku. 1995. 901. 46-50

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Books (1)：

Lectures and oral presentations (4)：

Jaworski-Takens-Gutman Type Embedding Theorems of One-sided Dynamical Systems,
(Conference on Geometric Topology and Related Topics, Mazatlán, Mexico, 2019)
Topological entropy and $IE$-tuples of $G$-like indecomposable continua,
(Third Pan-Pacific International Conference on Topology and Applications, 2019)
位相エントロピーと空間の複雑性,
(2019)
On zero-dimensional covers of dynamical systems,
(2019)

Education (2)：

Work history (1)：

Association Membership(s) (1)：

日本数学会

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