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arXiv 2018-01-06 0 views

Products of locally compact spaces are kᵣ-spaces

Glockner, Helge · Masbough, Niku

Original · EN

A theorem by Norman L. Noble from 1970 asserts that every product of completely regular, locally pseudo-compact kᵣ-spaces is a kᵣ-space. As a consequence, all direct products of locally compact Hausdorff spaces are kᵣ-spaces. We provide a streamlined proof for this fact.

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