典型文献
Topological Stability and Pseudo-orbit Tracing Property for Homeomorphisms on Uniform Spaces
文献摘要：
In this paper,we investigate the topological stability and pseudo-orbit tracing property for homeomorphisms on uniform spaces.We introduce the concept of topological stability for home-omorphisms on compact uniform spaces and prove that if a homeomorphism on a compact uniform space is expansive and has pseudo-orbit tracing property,then it is topologically stable.Moreover,we discuss the topological stability for homeomorphisms on uniform spaces from the view of localization.We introduce definitions of topologically stable point and shadowable point for homeomorphisms on uniform spaces and show that every shadowable point of an expansive homeomorphism on a compact uniform space is topologically stable.
文献关键词：
中图分类号：
作者姓名：
Ke Song YAN;Fan Ping ZENG
作者机构：
School of Information and Statistics,Guangxi University of Finance and Economics,Nanning 530003,P.R.China
文献出处：
引用格式：
[1]Ke Song YAN;Fan Ping ZENG-.Topological Stability and Pseudo-orbit Tracing Property for Homeomorphisms on Uniform Spaces)[J].数学学报（英文版）,2022(02):431-442
A类：
Homeomorphisms,homeomorphisms,omorphisms,homeomorphism,shadowable
B类：
Topological,Stability,Pseudo,orbit,Tracing,Property,Uniform,Spaces,In,this,paper,we,investigate,stability,pseudo,tracing,property,uniform,spaces,We,introduce,concept,compact,prove,that,expansive,has,then,topologically,stable,Moreover,discuss,from,view,localization,definitions,point,show,every
AB值：
0.367309
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