Chaotic group actions

被引：0
|
作者：
Enhui Shi
Lizhen Zhou
Youcheng Zhou
机构：
[1] Dept. of Math., Zhejiang Univ., Hangzhou
[2] Dept. of Math., Suzhou Univ., Suzhou
来源：
Applied Mathematics-A Journal of Chinese Universities | 2003年 / 18卷 / 1期
基金：
中国国家自然科学基金;
关键词：
Chaos; Group actions; Topological transitivity;
D O I：
10.1007/s11766-003-0084-4
中图分类号：
学科分类号：
摘要：
It is proved that there is no chaotic group actions on any topological space with free arc. In this paper the chaotic actions of the group like G × F, where F is a finite group, are studied. In particular, under a suitable assumption, if F is a cyclic group, then the topological space which admits a chaotic action of Z × F must admit a chaotic homeomorphism. A topological space which admits a chaotic group action but admits no chaotic homeomorphism is constructed. © 2003, Springer Verlag. All rights reserved.
引用
收藏
页码：59 / 63
页数：4
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