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Rational acyclic resolutions

Michael Levin

math.GTarXiv:math/0410369

Abstract

Let X be a compactum such that dimQ X < n+1, n>1. We prove that there is a Q-acyclic resolution r: Z-->X from a compactum Z of dim < n+1. This allows us to give a complete description of all the cases when for a compactum X and an abelian group G such that dimG X < n+1, n>1 there is a G-acyclic resolution r: Z-->X from a compactum Z of dim < n+1.

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