Topologically stable points and uniform limits
In this paper we study a pointwise version of Walters topological stability in the class of homeomorphisms on a compact metric space. We also show that if a sequence of homeomorphisms on a compact metric space is uniformly expansive with the uniform shadowing property, then the limit is expansive wi...
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| Published in | Journal of the Korean Mathematical Society pp. 1043 - 1055 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
대한수학회
01.09.2023
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| Subjects | |
| Online Access | Get full text |
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| Summary: | In this paper we study a pointwise version of Walters topological stability in the class of homeomorphisms on a compact metric space. We also show that if a sequence of homeomorphisms on a compact metric space is uniformly expansive with the uniform shadowing property, then the limit is expansive with the shadowing property and so topologically stable. Furthermore, we give examples to illustrate our results. KCI Citation Count: 0 |
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| Bibliography: | https://jkms.kms.or.kr/journal/view.html?doi=10.4134/JKMS.j220595 |
| ISSN: | 0304-9914 2234-3008 |
| DOI: | 10.4134/JKMS.j220595 |