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Acyclic resolutions for arbitrary groups

2002/02/28 by Michael Levin
Mathematics · #math.GN #math.AT #msc:55M10 #msc:54F45

paper · pdf

published as Israel J. Math. 135(2003), 193--203

arxiv created 2004/01/13 · arxiv updated 2009/11/30

Abstract

We prove that for every abelian group G and every compactum X with dimG X ≤ n ≥ 2 there is a G-acyclic resolution r: Z \lo X from a compactum Z with dimG Z ≤ n and dim Z ≤ n+1 onto X.

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