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arXiv · 2105.00281

Rational and $p$-adic analogs of J.H.C. Whitehead's conjecture

Andrey M. Mikhovich
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Abstract

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.

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Andrey M. Mikhovich. 2021-05-01. Rational and $p$-adic analogs of J.H.C. Whitehead's conjecture. https://doi.org/10.4213/im9597

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