#### Algebraic and Geometric Topology 5 (2005),
paper no. 12, pages 219-235.

## Rational acyclic resolutions

### Michael Levin

**Abstract**.
Let X be a compactum such that dim_Q X <= n, n>1. 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_G X <= n, n>1
there is a G-acyclic resolution r: Z-->X from a compactum Z of dim <=
n.
**Keywords**.
Cohomological dimension, acyclic resolution

**AMS subject classification**.
Primary: 55M10, 54F45.

**DOI:** 10.2140/agt.2005.5.219

**E-print:** `arXiv:math.GT/0410369`

Submitted: 17 March 2004.
(Revised: 22 March 2005.)
Accepted: 24 March 2005.
Published: 6 April 2005.

Notes on file formats
Michael Levin

Department of Mathematics, Ben Gurion University of the Negev

P.O.B. 653, Be'er Sheva 84105, ISRAEL

Email: mlevine@math.bgu.ac.il

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