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arXiv:1801.02006 [math.GN]AbstractReferencesReviewsResources

Products of locally compact spaces are k_R-spaces

Helge Glockner, Niku Masbough

Published 2018-01-06Version 1

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.

Comments: 3 pages, LaTeX
Categories: math.GN
Subjects: 54D50, 54D45
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