Expansive Behaviours for Homeomorphisms of tvs-Cone Metric Spaces

被引：0
|
作者：
Xun GE [1 ]
机构：
[1] School of Mathematical Sciences, Soochow University
来源：
Journal of Mathematical Research with Applications | 2016年 / 36卷 / 03期
基金：
中国国家自然科学基金; 国家教育部博士点专项基金资助;
关键词：
tvs-cone metric space; tvs-cone expansive homeomorphism; generator; converging semiorbit;
D O I：
暂无
中图分类号：
O177 [泛函分析];
学科分类号：
070104 ;
摘要：
Let f be a homeomorphism of a compact tvs-cone metric space. In this paper,we show that f is tvs-cone expansive if and only if f has a generator. Further, it is proved that if f is tvs-cone expansive, then the set of points having converging semiorbits under f is a countable set. Results of this paper improve some expansive homeomorphisms theorems in topological dynamics, which will help to research dynamical properties for homeomorphisms of tvs-cone metric spaces.
引用
收藏
页码：363 / 368
页数：6
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