On genericity of shadowing and periodic shadowing property

被引：27

作者：

Koscielniak, P ^{[1
]}

机构：

[1] Jagiellonian Univ, Inst Matemat, Krakow, Poland

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2005年 / 310卷 / 01期

关键词：

generic properties; periodic shadowing; covering relations; topological dynamics;

D O I：

10.1016/j.jmaa.2005.01.053

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let M be a smooth compact manifold (possibly with boundary) or compact manifold with dim M <= 3 or dim M >= 6. We prove that generic homeomorphism on M has the periodic shadowing property. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：188 / 196

页数：9

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