Universal acyclic resolutions for arbitrary coefficient groups

Details Universal acyclic resolutions for arbitrary coefficient groups Universal acyclic resolutions for arbitrary coefficient groups

2004-10-16

arxiv.org/abs/math/0410368v1

Fund. Math. 178 (2003), no. 2, 159--169

Mathematics

Geometric Topology

Scientific paper

We prove that for every compactum $X$ and every integer $n \geq 2$ there are
a compactum $Z$ of $\dim \leq n+1$ and a surjective $UV^{n-1}$-map $r: Z \lo X$
such that for every abelian group $G$ and every integer $k \geq 2$ such that
$\dim_G X \leq k \leq n$ we have $\dim_G Z \leq k$ and $r$ is $G$-acyclic.

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