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2003 Cell-like resolutions preserving cohomological dimensions
Michael Levin
Algebr. Geom. Topol. 3(2): 1277-1289 (2003). DOI: 10.2140/agt.2003.3.1277

Abstract

We prove that for every compactum X with dimXn2 there is a cell-like resolution r:ZX from a compactum Z onto X such that dimZn and for every integer k and every abelian group G such that dimGXk2 we have dimGZk. The latter property implies that for every simply connected CW–complex K such that e-edimXK we also have e-dimZK.

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Michael Levin. "Cell-like resolutions preserving cohomological dimensions." Algebr. Geom. Topol. 3 (2) 1277 - 1289, 2003. https://doi.org/10.2140/agt.2003.3.1277

Information

Received: 7 April 2003; Revised: 1 December 2003; Accepted: 9 December 2003; Published: 2003
First available in Project Euclid: 21 December 2017

zbMATH: 1064.55001
MathSciNet: MR2026335
Digital Object Identifier: 10.2140/agt.2003.3.1277

Subjects:
Primary: 54F45, 55M10

Rights: Copyright © 2003 Mathematical Sciences Publishers

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