Geodesic
Cell-like resolutions preserving cohomological dimensions
Levin, Michael1
1Department of Mathematics, Ben Gurion University of the Negev, P.O.B. 653, Be’er Sheva 84105, ISRAEL
Algebraic and Geometric Topology, Tome 3 (2003) no. 2, pp. 1277-1289
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We prove that for every compactum X with dimℤX ≤ n ≥ 2 there is a cell-like resolution r : Z→X from a compactum Z onto X such that dimZ ≤ n and for every integer k and every abelian group G such that dimGX ≤ k ≥ 2 we have dimGZ ≤ k. The latter property implies that for every simply connected CW–complex K such that e-edimX ≤ K we also have e-dimZ ≤ K.

DOI : 10.2140/agt.2003.3.1277
Keywords: Cohomological dimension, cell-like resolution

Levin, Michael  1

1 Department of Mathematics, Ben Gurion University of the Negev, P.O.B. 653, Be’er Sheva 84105, ISRAEL 
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Levin, Michael. Cell-like resolutions preserving cohomological dimensions. Algebraic and Geometric Topology, Tome 3 (2003) no. 2, pp. 1277-1289. doi: 10.2140/agt.2003.3.1277

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