Kato Hisao

J-GLOBAL         Last updated: Jun 28, 2019 at 09:45
Kato Hisao

Research Areas


Academic & Professional Experience

Professor, University of Tsukuba Faculty of Pure and Applied Sciences

Published Papers

Monotone maps of G-like continua with positive topological entropy yield indecomposability
Proc. AMS (to appear)      2019   [Refereed]
Topological entropy and IE-tuples of indecomposable continua
Fund. Math. (to appear)      2019   [Refereed]
Darji, Udayan B.;Kato, Hisao
Advances in Math.   304 793-808   2017   [Refereed]
We use recent developments in local entropy theory to prove that chaos in dynamical systems implies the existence of complicated structure in the underlying space. Earlier Mouron proved that if X is an arc-like continuum which admits a homeomorphi...
Hiraki, Masatoshi;Kato, Hisao
Topology and its applications   226 16-30   2017   [Refereed]
A space X is a dimensionally stepwise space if dim X < infinity and for any 1 <= m <= dimX there is an open set Urn of X such that dim U-m = m. In this paper, for given inverse sequence {X-i, f(i,i+1)}(i=1)(infinity) of compacta with upper semi-co...
Fund. Math.   236(1) 83-99   2017   [Refereed]
Recently, several topological properties of inverse limits of compacta with upper semicontinuous set-valued functions have been studied by many authors. The study of such inverse limits has developed into one of rich topics of geometric topology. ...
Colorings for set-valued maps
Scientiae Mathematicae Japonicae      2016   [Refereed]
On eventual coloring numbers
Y., Ikegami;H., Kato;A., Ueda
Topology Proc.   47 1-14   2016   [Refereed]
Topology Appl.   202 410-417   2016   [Refereed]
We prove that for each n >= 1 the set of all surjective continuum-wise injective maps from an n-dimensional continuum onto an LCn-1-continuum with the disjoint (n-1, n)-cells property is a dense G(delta)-subset of the space of all surjective maps....
Chaos and indecomposability of continua (Research Trends on Set-theoretic and Geometric Topology and their Prospect)
RIMS Kokyuroku   1987 25-31   Apr 2016
TOPOLOGY AND ITS APPLICATIONS   196(A) 54-59   Dec 2015   [Refereed]
In this note, we study some dynamical decomposition theorems of spaces related to given homeomorphisms. First, we prove that if f : X -> X is a homeomorphism of an n-dimensional separable metric space X with zero-dimensional set of periodic points...

Books etc

Fiber Shape Theory
Mar 1982   

Conference Activities & Talks

Topological entropy and topological structures of 1-dimensional continua
日本数学会   11 Sep 2017   
Topological entropy and topological structures of Tex-like indecomposable continua [Invited]
7th Visegrad Conference on Dynamical Systems   26 Jun 2017   
Topological entropy and topological structures of Tex-like continua [Invited]
京都大学数理解析研究所研究集会   12 Jun 2017   
Topological structures of generalized inverse limits [Invited]
ジェネラルトポロジーシンポジウム   4 Dec 2016   
On dimension of generalized inverse limits [Invited]
京都大学数理解析研究所研究集会「集合論的・幾何学的トポロジーとその応用」   17 Oct 2016