Products of locally compact spaces are k_R-spaces

2018/01/06 by Glockner, Helge, Masbough, Niku
#54D45 #54D50 #FOS: Mathematics #General Topology (math.GN)

paper · doi:10.48550/arxiv.1801.02006

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.

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