Recurrence and the shadowing property

被引：6
|
作者：
Chu, CK
Koo, KS
机构：
[1] CHUNGNAM NATL UNIV, DEPT MATH, TAEJON 302764, SOUTH KOREA
[2] TAEJON UNIV, DEPT MATH, TAEJON 300716, SOUTH KOREA
来源：
TOPOLOGY AND ITS APPLICATIONS | 1996年 / 71卷 / 03期
关键词：
shadowing property; recurrent set; nonwandering set; expansive;
D O I：
10.1016/0166-8641(95)00109-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the relationship between the recurrent set and the shadowing property. We give a necessary condition for a homeomorphism restricted to its nonwandering set to have the shadowing property. Also, we consider a condition for an arbitrary homeomorphism to be a nonwandering homeomorphism. Finally, we consider homeomorphisms which cannot have the shadowing property.
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页码：217 / 225
页数：9
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