摘要
本文把一个同胚的膨胀作用推广到拓扑群的情形,并研究了有限生成离散群 的膨胀作用,得到了如下结果:Z×Z不能膨胀地作用在单位闭区间I上,而自由积 Z★Z可以膨胀地作用在I上.
In this paper, the concept of expansive action of homeomorphism is generalized to the case of topological group, the expansiveness of a finitely generated topological group with discrete topology is studied and the following result is obtained: Z×Z can not acts expansively on the unit interval I, but the free product Z★Z can acts expansively on it.
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
2003年第1期197-202,共6页
Acta Mathematica Sinica：Chinese Series
基金
国家自然科学基金资助项目(10071069)
苏州大学青年基金资助项目(Q3107222)
关键词
拓扑群
连续统
膨胀同胚
拓扑群连续作用
拓扑共轭
Topological group
Continuum
Expansive homeomorphism
Continuous action of topological group
Topological conjugation
