A homotopical consequence of branched covers
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866913041115774976 |
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| author | Hu, Runjie |
| author_facet | Hu, Runjie |
| contents | We prove that the profinite completion of a pseudomanifold is the Artin-Mazur's etale homotopy type construction on its branched covers, which was implicitly conjectured by Sullivan in his MIT note (page 247) around 1970. This is a consequence of the existence of enough $K(π,1)$ open dense subspaces in a pseudomanifold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_05231 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A homotopical consequence of branched covers Hu, Runjie Algebraic Topology Algebraic Geometry Geometric Topology We prove that the profinite completion of a pseudomanifold is the Artin-Mazur's etale homotopy type construction on its branched covers, which was implicitly conjectured by Sullivan in his MIT note (page 247) around 1970. This is a consequence of the existence of enough $K(π,1)$ open dense subspaces in a pseudomanifold. |
| title | A homotopical consequence of branched covers |
| topic | Algebraic Topology Algebraic Geometry Geometric Topology |
| url | https://arxiv.org/abs/2309.05231 |