The strong topological Rokhlin property and Medvedev degrees of SFTs
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915712642056192 |
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| author | Carrasco-Vargas, Nicanor |
| author_facet | Carrasco-Vargas, Nicanor |
| contents | We prove that if a recursively presented group admits a (nonempty) subshift of finite type with nonzero Medvedev degree then it fails to have the strong topological Rokhlin property. This result simplifies a known criterion and provides new examples of recursively presented groups without this property. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_03501 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The strong topological Rokhlin property and Medvedev degrees of SFTs Carrasco-Vargas, Nicanor Dynamical Systems Information Theory Group Theory Logic 37B10 (Primary), 37A55, 37B05, 03D30 (Secondary) We prove that if a recursively presented group admits a (nonempty) subshift of finite type with nonzero Medvedev degree then it fails to have the strong topological Rokhlin property. This result simplifies a known criterion and provides new examples of recursively presented groups without this property. |
| title | The strong topological Rokhlin property and Medvedev degrees of SFTs |
| topic | Dynamical Systems Information Theory Group Theory Logic 37B10 (Primary), 37A55, 37B05, 03D30 (Secondary) |
| url | https://arxiv.org/abs/2601.03501 |