The nonexistence of sensitive commutative group actions on graphs

被引：0
|
作者：
Jie-hua MAI~1 En-hui SHI~(2+) 1 Institute of Mathematics
2 School of Mathematical Sciences
机构：
来源：
ScienceinChina(SeriesA:Mathematics) | 2007年 / 08期
基金：
中国国家自然科学基金;
关键词：
homeomorphism; commutative group action; graph map; sensitivity; expansiveness; infinite spiral curve;
D O I：
暂无
中图分类号：
O152.2 [交换群论（阿贝尔群论）];
学科分类号：
070104 ;
摘要：
In this paper,we observe a special kind of continuous functions on graphs.By estimating the integrals of these functions,we prove that there are no sensitive commutative group actions on graphs.Furthermore,we consider a 1-dimensional continuum composed of a spiral curve and a circle and show that there exist sensitive homeomorphisms on it,which answers negatively a question proposed by Kato in 1993.
引用
收藏
页码：1197 / 1204
页数：8
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