Beyond $0$ and $\infty$: A solution to the Barge Entropy Conjecture
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| Format: | Preprint |
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2021
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| _version_ | 1866910933510520832 |
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| author | Boroński, Jan P. Činč, Jernej Oprocha, Piotr |
| author_facet | Boroński, Jan P. Činč, Jernej Oprocha, Piotr |
| contents | We prove the entropy conjecture of M. Barge from 1989: for every $r\in [0,\infty]$ there exists a pseudo-arc homeomorphism $h$, whose topological entropy is $r$. Until now all pseudo-arc homeomorphisms with known entropy have had entropy $0$ or $\infty$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2105_11133 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Beyond $0$ and $\infty$: A solution to the Barge Entropy Conjecture Boroński, Jan P. Činč, Jernej Oprocha, Piotr Dynamical Systems General Topology 37A35 We prove the entropy conjecture of M. Barge from 1989: for every $r\in [0,\infty]$ there exists a pseudo-arc homeomorphism $h$, whose topological entropy is $r$. Until now all pseudo-arc homeomorphisms with known entropy have had entropy $0$ or $\infty$. |
| title | Beyond $0$ and $\infty$: A solution to the Barge Entropy Conjecture |
| topic | Dynamical Systems General Topology 37A35 |
| url | https://arxiv.org/abs/2105.11133 |