Fundamental groups and descriptive set theory
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866911297794211840 |
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| author | Wu, Fanxin |
| author_facet | Wu, Fanxin |
| contents | We study the homotopy of loops in a fixed path-connected Polish space from a descriptive set-theoretic viewpoint. We show that many analytic equivalence relations arise this way, and many do not. We also study the "free group" over an equivalence relation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_02355 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fundamental groups and descriptive set theory Wu, Fanxin Logic Algebraic Topology 03E15 (Primary) 54H05, 20F34 (Secondary) We study the homotopy of loops in a fixed path-connected Polish space from a descriptive set-theoretic viewpoint. We show that many analytic equivalence relations arise this way, and many do not. We also study the "free group" over an equivalence relation. |
| title | Fundamental groups and descriptive set theory |
| topic | Logic Algebraic Topology 03E15 (Primary) 54H05, 20F34 (Secondary) |
| url | https://arxiv.org/abs/2512.02355 |