Products of CW complexes
General Topology
2018-08-31 v2 Algebraic Topology
Logic
Abstract
CW complexes are used extensively in algebraic topology, but the product of two CW complexes need not be a CW complex, as shown by Dowker. Whilst Whitehead and Milnor gave sufficient conditions for the product to be a CW complex, all existing characterizations of those pairs of CW complexes which have product a CW complex rely on extra set-theoretic axioms. Here we provide a complete characterization of when the product of two CW complexes is a CW complex without using any extra set-theoretic axioms.
Keywords
Cite
@article{arxiv.1710.05296,
title = {Products of CW complexes},
author = {Andrew D. Brooke-Taylor},
journal= {arXiv preprint arXiv:1710.05296},
year = {2018}
}
Comments
Expanded Introduction, rewrote Abstract, and fixed typos