Products of locally compact spaces are k_R-spaces
General Topology
2018-01-09 v1
Abstract
A theorem by Norman L. Noble from 1970 asserts that every product of completely regular, locally pseudo-compact k_R-spaces is a k_R-space. As a consequence, all direct products of locally compact Hausdorff spaces are k_R-spaces. We provide a streamlined proof for this fact.
Cite
@article{arxiv.1801.02006,
title = {Products of locally compact spaces are k_R-spaces},
author = {Helge Glockner and Niku Masbough},
journal= {arXiv preprint arXiv:1801.02006},
year = {2018}
}
Comments
3 pages, LaTeX