Strongly isomorphic symbolic extensions for expansive topological flows
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866909148304637952 |
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| author | Gutman, Yonatan Shi, Ruxi |
| author_facet | Gutman, Yonatan Shi, Ruxi |
| contents | In this paper, we prove that finite-dimensional topological flows without fixed points and having a countable number of periodic orbits, have the small flow boundary property. This enables us to answer positively a question of Bowen and Walters from 1972: Any expansive topological flow has a strongly isomorphic symbolic flow extension, i.e. an extension by a suspension flow over a subshift. Previously Burguet had shown this is true if the flow is assumed to be $C^2$-smooth. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_12308 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Strongly isomorphic symbolic extensions for expansive topological flows Gutman, Yonatan Shi, Ruxi Dynamical Systems In this paper, we prove that finite-dimensional topological flows without fixed points and having a countable number of periodic orbits, have the small flow boundary property. This enables us to answer positively a question of Bowen and Walters from 1972: Any expansive topological flow has a strongly isomorphic symbolic flow extension, i.e. an extension by a suspension flow over a subshift. Previously Burguet had shown this is true if the flow is assumed to be $C^2$-smooth. |
| title | Strongly isomorphic symbolic extensions for expansive topological flows |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2206.12308 |