Rational and $p$-adic analogs of J.H.C. Whitehead's conjecture
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arXiv
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| Format: | Preprint |
| Publié: |
2021
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| _version_ | 1866915140294672384 |
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| author | Mikhovich, Andrey M. |
| author_facet | Mikhovich, Andrey M. |
| contents | We show that subpresentations of aspherical prounipotent presentations over fields of zero characteristics and subpresentations of aspherical pro-$p$-presentations are aspherical, an application to subpresentations of aspherical discrete presentations is also included. Following Bousfield-Kan, Quillen and Sullivan the results are regarded as affirmative answers to rational and $p$-adic analogs of J.H.C. Whitehead's conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2105_00281 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Rational and $p$-adic analogs of J.H.C. Whitehead's conjecture Mikhovich, Andrey M. Algebraic Topology We show that subpresentations of aspherical prounipotent presentations over fields of zero characteristics and subpresentations of aspherical pro-$p$-presentations are aspherical, an application to subpresentations of aspherical discrete presentations is also included. Following Bousfield-Kan, Quillen and Sullivan the results are regarded as affirmative answers to rational and $p$-adic analogs of J.H.C. Whitehead's conjecture. |
| title | Rational and $p$-adic analogs of J.H.C. Whitehead's conjecture |
| topic | Algebraic Topology |
| url | https://arxiv.org/abs/2105.00281 |