Various shadowing properties and their equivalence
Various shadowing properties and their equivalence
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DOI：
10.3934/dcds.2005.13.533
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发表时间：
2005-04
影响因子：
1.1
通讯作者：
Keonhee Lee;K. Sakai
中科院分区：
文献类型：
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作者：
Keonhee Lee;K. Sakai
本文研究了扩张同胚的各种跟踪性质。更确切地说，我们证明了紧度量空间上扩张同胚的连续跟踪性质、Lipschitz跟踪性质、极限跟踪性质和强跟踪性质都等价于（通常的）跟踪性质.
In this paper, various shadowing properties are considered for expansive homeomorphisms. More precisely, we show that the continuous shadowing property, the Lipschitz shadowing property, the limit shadowing property and the strong shadowing property are all equivalent to the (usual) shadowing property for expansive homeomorphisms on compact metric spaces.