Some consequences of shadowing and entropy-expansiveness
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866910954593189888 |
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| author | Kawaguchi, Noriaki |
| author_facet | Kawaguchi, Noriaki |
| contents | We show that if a continuous self-map of a compact metric space is h-expansive and satisfies the shadowing property, then every non-empty uniformly rigid subset is zero-dimensional, and hence the set of periodic points is also zero-dimensional if it is not empty. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_06641 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Some consequences of shadowing and entropy-expansiveness Kawaguchi, Noriaki Dynamical Systems 37B20, 37B40, 37B65 We show that if a continuous self-map of a compact metric space is h-expansive and satisfies the shadowing property, then every non-empty uniformly rigid subset is zero-dimensional, and hence the set of periodic points is also zero-dimensional if it is not empty. |
| title | Some consequences of shadowing and entropy-expansiveness |
| topic | Dynamical Systems 37B20, 37B40, 37B65 |
| url | https://arxiv.org/abs/2504.06641 |