M. Levin

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20012004

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math.GN2002

Universal acyclic resolutions for finitely generated coefficient groups

Michael Levin

We prove that for every compactum X and every integer $n \geq 2$ there are a compactum Z of $dim \leq n$ and a surjective $U V^{n - 1}$ -map $r: Z \lo X$ having the property that: for…

math.GN2002

Acyclic resolutions for arbitrary groups

Michael Levin

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 $dim_{G} Z \leq n$ a…