The Nonexistence of Sensitive Commutative Group Actions on Dendrites

被引：1
|
作者：
Shi, En Hui [1 ]
Sun, Bin Yong [2 ]
Zhou, Li Zhen [1 ]
机构：
[1] Suzhou Univ, Math & Sci Coll, Suzhou 215006, Peoples R China
[2] CAS, Acad Math & Syst Sci, Beijing 100190, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2010年 / 26卷 / 10期
基金：
中国国家自然科学基金;
关键词：
Homeomorphism; commutative group action; sensitivity; dendrite; continuum; EXPANSIVE HOMEOMORPHISMS; DEVANEYS CHAOS; PEANO-CONTINUA; GRAPHS;
D O I：
10.1007/s10114-010-7199-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, using the integral method observed by Mai Jiehua recently, we show that no dendrite admits a sensitive commutative group action.
引用
收藏
页码：1961 / 1968
页数：8
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