A nonsmooth path-connectedness relation in the real plane
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915153727979520 |
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| author | Uyar, Yusuf |
| author_facet | Uyar, Yusuf |
| contents | In this paper, we construct a compact subset of the real plane whose path-connectedness equivalence relation is Borel bireducible to a nonsmooth hyperfinite Borel equivalence relation. This answers a question of \cite{bec98}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_07916 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A nonsmooth path-connectedness relation in the real plane Uyar, Yusuf Logic In this paper, we construct a compact subset of the real plane whose path-connectedness equivalence relation is Borel bireducible to a nonsmooth hyperfinite Borel equivalence relation. This answers a question of \cite{bec98}. |
| title | A nonsmooth path-connectedness relation in the real plane |
| topic | Logic |
| url | https://arxiv.org/abs/2501.07916 |