Cell-like resolutions preserving cohomological dimensions
一般拓扑
2014-10-01 v2 代数拓扑
摘要
We prove that for every compactum X with dim_Z X <= n >= 2 there is a cell-like resolution r: Z --> X from a compactum Z onto X such that dim Z <= n and for every integer k and every abelian group G such that dim_G X <= k >= 2 we have dim_G Z <=k. The latter property implies that for every simply connected CW-complex K such that e-dim X <= K we also have e-dim Z <= K.
引用
@article{arxiv.math/0208148,
title = {Cell-like resolutions preserving cohomological dimensions},
author = {Michael Levin},
journal= {arXiv preprint arXiv:math/0208148},
year = {2014}
}
备注
Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol3/agt-3-46.abs.html