Functorial CW-approximation
Algebraic Topology
2015-08-11 v1
Abstract
The usual construction of a CW-approximation is functorial up to homotopy, but it is not functorial. In this note, we construct a functorial CW-approximation. Our construction takes inclusions of subspaces into inclusions of subcomplexes, and commutes with intersections of subspaces of a fixed space.
Cite
@article{arxiv.1508.01944,
title = {Functorial CW-approximation},
author = {Philip S. Hirschhorn},
journal= {arXiv preprint arXiv:1508.01944},
year = {2015}
}
Comments
10 pages