Rational acyclic resolutions

Details Rational acyclic resolutions Rational acyclic resolutions

2004-10-16

arxiv.org/abs/math/0410369v2

Algebr. Geom. Topol. 5 (2005) 219-235

Mathematics

Geometric Topology

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-12.abs.html

Scientific paper

Let X be a compactum such that dim_Q 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 dim_G 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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