Universal acyclic resolutions for arbitrary coefficient groups

Michael Levin. "Universal acyclic resolutions for arbitrary coefficient groups." Fundamenta Mathematicae 178.2 (2003): 159-169. <http://eudml.org/doc/283189>.

@article{MichaelLevin2003,
abstract = {We prove that for every compactum X and every integer n ≥ 2 there are a compactum Z of dimension ≤ n+1 and a surjective $UV^\{n-1\}$-map r: Z → X such that for every abelian group G and every integer k ≥ 2 such that $dim_G X ≤ k ≤ n$ we have $dim_G Z ≤ k$ and r is G-acyclic.},
author = {Michael Levin},
journal = {Fundamenta Mathematicae},
keywords = {cohomological dimension; -acyclic map; UV-map; covering dimension; acyclic resolution},
language = {eng},
number = {2},
pages = {159-169},
title = {Universal acyclic resolutions for arbitrary coefficient groups},
url = {http://eudml.org/doc/283189},
volume = {178},
year = {2003},
}

TY - JOUR
AU - Michael Levin
TI - Universal acyclic resolutions for arbitrary coefficient groups
JO - Fundamenta Mathematicae
PY - 2003
VL - 178
IS - 2
SP - 159
EP - 169
AB - We prove that for every compactum X and every integer n ≥ 2 there are a compactum Z of dimension ≤ n+1 and a surjective $UV^{n-1}$-map r: Z → X such that for every abelian group G and every integer k ≥ 2 such that $dim_G X ≤ k ≤ n$ we have $dim_G Z ≤ k$ and r is G-acyclic.
LA - eng
KW - cohomological dimension; -acyclic map; UV-map; covering dimension; acyclic resolution
UR - http://eudml.org/doc/283189
ER -