Acyclic resolutions for arbitrary groups

Mathematics – General Topology

Scientific paper

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Scientific paper

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

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