Homeomorphisms on compact metric spaces with finite derived length

被引:0
作者
Kannan, V. [1 ]
Gopal, Sharan [2 ]
机构
[1] Univ Hyderabad, Sch Math & Stat, Hyderabad, Andhra Pradesh, India
[2] BITS Pilani, Dept Math, Hyderabad Campus, Hyderabad, Andhra Pradesh, India
来源
APPLIED GENERAL TOPOLOGY | 2016年 / 17卷 / 02期
关键词
ordinal; homeomorphism; periodic point;
D O I
10.4995/agt.2016.4593
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The sets of periodic points of self homeomorphisms on an ordinal of finite derived length are characterised, thus characterising the same for homeomorphisms on compact metric spaces with finite derived length. A partition of ordinal is introduced to study this problem which is also used to solve two more problems: one about an equivalence relation and the other about a group action, both on an ordinal of finite derived length.
引用
收藏
页码:129 / 137
页数:9
相关论文
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