Universal acyclic resolutions for finitely generated coefficient groups
| dc.creator | Levin, Michael | |
| dc.date | 2002-08-21 | |
| dc.date | 2004-01-13 | |
| dc.date.accessioned | 2026-07-07T04:50:18Z | |
| dc.date.available | 2026-07-07T04:50:18Z | |
| dc.description | We prove that for every compactum X and every integer $n \geq 2$ there are a compactum Z of $\dim \leq n$ and a surjective $UV^{n-1}$-map $r: Z \lo X$ having the property that: for every finitely generated abelian group G and every integer $k \geq 2$ such that $\dim_G X \leq k \leq n$ we have $\dim_G Z \leq k$ and r is G-acyclic, or equivalently: for every simply connected CW-complex K with finitely generated homotopy groups such that $\edim X \leq K$ we have $\edim Z \leq K$ and r is K-acyclic. (A space is K-acyclic if every map from the space to K is null-homotopic. A map is K-acyclic if every fiber is K-acyclic.) | |
| dc.identifier | https://arxiv.org/abs/math/0208149 | |
| dc.identifier | http://arxiv.org/abs/math/0208149 | |
| dc.identifier | Topology Appl. 135(2004), 101--109 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64746 | |
| dc.subject | General Topology | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55M10, 54F45 | |
| dc.title | Universal acyclic resolutions for finitely generated coefficient groups | |
| dc.type | text |