Volume 5, issue 1 (2005)

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Rational acyclic resolutions

Michael Levin

Algebraic & Geometric Topology 5 (2005) 219–235

arXiv: math.GT/0410369

Abstract

Let X be a compactum such that dimX n, n 2. We prove that there is a –acyclic resolution r: ZX 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 dimGX n, n 2 there is a G–acyclic resolution r: ZX from a compactum Z of dim n.

Keywords
cohomological dimension, acyclic resolution
Mathematical Subject Classification 2000
Primary: 55M10, 54F45
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Publication
Received: 17 March 2004
Revised: 22 March 2005
Accepted: 24 March 2005
Published: 6 April 2005
Authors
Michael Levin
Department of Mathematics
Ben Gurion University of the Negev
P.O.B. 653
Be’er Sheva 84105
Israel