Algebraic & Geometric Topology 5 (2005) 219–235

DOI: 10.2140/agt.2005.5.219

arXiv: math.GT/0410369

Abstract

Let X be a compactum such that dim_QX≤n, n≥2. We prove that there is a Q–acyclic resolution r:Z→X from a compactum Z of dim≤n. 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_GX≤n, n≥2 there is a G–acyclic resolution r:Z→X from a compactum Z of dim≤n.

Keywords

cohomological dimension, acyclic resolution

Mathematical Subject Classification

Primary: 54F45, 55M10

References

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Publication

Received: 17 March 2004
Revised: 22 March 2005
Accepted: 24 March 2005
Published: 6 April 2005

Authors