Generic properties of Z2-actions on the interval

被引：6
|
作者：
Koscielniak, Piotr [1 ]
机构：
[1] Jagiellonian Univ, Inst Matemat, PL-30059 Krakow, Poland
来源：
TOPOLOGY AND ITS APPLICATIONS | 2007年 / 154卷 / 14期
关键词：
generic properties; continuous Z(p)-action;
D O I：
10.1016/j.topol.2007.05.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that generic Z(2)-actions (f, g) on the interval [0, 1] have the property that both f and g have the periodic shadowing and strong tolerance stability properties, as well as their chain recurrent sets are the Cantor sets (Theorem 1). (c) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码：2672 / 2677
页数：6
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