THE NONEXISTENCE OF EXPANSIVE POLYCYCLIC GROUP ACTIONS ON THE CIRCLE S1

被引：1
|
作者：
Shi, Enhui [1 ]
Wang, Suhua [2 ]
Xie, Zhiwen [1 ]
Xu, Hui [3 ]
机构：
[1] Soochow Univ, Sch Math Sci, Suzhou 215006, Jiangsu, Peoples R China
[2] Suzhou Vocat Univ, Sch Math Sci, Suzhou 215104, Jiangsu, Peoples R China
[3] Univ Sci & Technol China, CAS Wu Wen Tsun Key Lab Math, Hefei 230026, Anhui, Peoples R China
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2023年 / 151卷 / 07期
关键词：
Expansivity; polycyclic group; topological transitivity; circle; PEANO-CONTINUA; HOMEOMORPHISMS;
D O I：
10.1090/proc/16400
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that the circle S1 admits no expansive polycyclic group actions.
引用
收藏
页码：3049 / 3057
页数：9
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