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

AGT home page

EMIS/ELibM Electronic Journals

Outdated Archival Version

These pages are not updated anymore. They reflect the state of 21 Apr 2006. For the current production of this journal, please refer to http://msp.warwick.ac.uk/.