Universal acyclic resolutions for arbitrary coefficient groups
Volume 178 / 2003
Fundamenta Mathematicae 178 (2003), 159-169
MSC: 55M10, 54F45.
DOI: 10.4064/fm178-2-5
Abstract
We prove that for every compactum $X$ and every integer $n \geq 2$ there are a compactum $Z$ of dimension $\leq n+1$ and a surjective $UV^{n-1}$-map $r: Z \to X$ such that for every abelian group $G$ and every integer $k \geq 2$ such that $\mathop {\rm dim}\nolimits _G X \leq k \leq n$ we have $\mathop {\rm dim}\nolimits _G Z \leq k$ and $r$ is $G$-acyclic.
