Anti-classification results for conjugacy of diffeomorphisms on manifolds
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866913837065699328 |
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| author | Peng, Bo |
| author_facet | Peng, Bo |
| contents | We show that the topological conjugacy relation of diffeomorphisms on any manifold of dimension at least 2 is not classifiable by countable structures. This answers a question of Foreman and Gorodetski. We also prove that $E_0$ is reducible into the topological conjugacy relation of minimal diffeomorphisms on the 2-torus, which answers a question of Foreman. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_09491 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Anti-classification results for conjugacy of diffeomorphisms on manifolds Peng, Bo Dynamical Systems Logic 37C15 We show that the topological conjugacy relation of diffeomorphisms on any manifold of dimension at least 2 is not classifiable by countable structures. This answers a question of Foreman and Gorodetski. We also prove that $E_0$ is reducible into the topological conjugacy relation of minimal diffeomorphisms on the 2-torus, which answers a question of Foreman. |
| title | Anti-classification results for conjugacy of diffeomorphisms on manifolds |
| topic | Dynamical Systems Logic 37C15 |
| url | https://arxiv.org/abs/2505.09491 |