Rational and $p$-adic analogs of J.H.C. Whitehead's conjecture
Algebraic Topology
2025-02-07 v2
Abstract
We show that subpresentations of aspherical prounipotent presentations over fields of zero characteristics and subpresentations of aspherical pro--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 -adic analogs of J.H.C. Whitehead's conjecture.
Keywords
Cite
@article{arxiv.2105.00281,
title = {Rational and $p$-adic analogs of J.H.C. Whitehead's conjecture},
author = {Andrey M. Mikhovich},
journal= {arXiv preprint arXiv:2105.00281},
year = {2025}
}
Comments
Besides minor corrections Section 6 with applications is included