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
相关论文
共 50 条
  • [31] Complex contact manifolds and S1 actions
    Haydeé Herrera
    Rafael Herrera
    Geometriae Dedicata, 2010, 149 : 335 - 345
  • [32] Complex contact manifolds and S1 actions
    Herrera, Haydee
    Herrera, Rafael
    GEOMETRIAE DEDICATA, 2010, 149 (01) : 335 - 345
  • [33] DIFFERENTIABLE S1 ACTIONS ON HOMOTOPY SPHERES
    WANG, K
    INVENTIONES MATHEMATICAE, 1974, 24 (01) : 51 - 63
  • [34] CONTINUA THAT ADMIT EXPANSIVE Zn+1 ACTIONS BUT NOT EXPANSIVE Zn ACTIONS
    Mouron, Christopher
    HOUSTON JOURNAL OF MATHEMATICS, 2010, 36 (01): : 167 - 180
  • [35] Flexibility of Group Actions on the Circle Introduction
    Kim, Sang-hyun
    Koberda, Thomas
    Mj, Mahan
    FLEXIBILITY OF GROUP ACTIONS ON THE CIRCLE, 2019, 2231 : 1 - 17
  • [36] Actions of the group of homeomorphisms of the circle on surfaces
    Militon, Emmanuel
    FUNDAMENTA MATHEMATICAE, 2016, 233 (02) : 143 - 172
  • [37] Flexibility of Group Actions on the Circle Preface
    Kim, Sang-hyun
    Koberda, Thomas
    Mj, Mahan
    FLEXIBILITY OF GROUP ACTIONS ON THE CIRCLE, 2019, 2231 : V - +
  • [38] SET OF FIXED-POINTS OF S1 ACTIONS
    SEBASTIA.M
    PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY-MATHEMATICAL AND PHYSICAL SCIENCES, 1972, 72 (NOV): : 387 - &
  • [39] A note on actions of the cylinder S1 x R
    Arraut, JL
    Schweitzer, PA
    TOPOLOGY AND ITS APPLICATIONS, 2002, 123 (03) : 533 - 535
  • [40] A NOTE ON SEMIFREE ACTIONS OF S1 ON HOMOTOPY SPHERES
    KU, HT
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 22 (03) : 614 - +
12345