Every nondegenerate Peano continuum admits a pure mixing selfmap
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866913003250647040 |
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| author | Karasova, Klara Kowalewski, Michał Oprocha, Piotr |
| author_facet | Karasova, Klara Kowalewski, Michał Oprocha, Piotr |
| contents | We prove that every Peano continuum (a space that is a continuous image of $[0,1]$) admits a topologically mixing but not exact map. The constructed map has a dense set of periodic points. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_11271 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Every nondegenerate Peano continuum admits a pure mixing selfmap Karasova, Klara Kowalewski, Michał Oprocha, Piotr Dynamical Systems Primary: 37B45, Secondary: 37B05, 37B40 We prove that every Peano continuum (a space that is a continuous image of $[0,1]$) admits a topologically mixing but not exact map. The constructed map has a dense set of periodic points. |
| title | Every nondegenerate Peano continuum admits a pure mixing selfmap |
| topic | Dynamical Systems Primary: 37B45, Secondary: 37B05, 37B40 |
| url | https://arxiv.org/abs/2511.11271 |