Products of locally compact spaces are k_R-spaces

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.

3 pages, LaTeX

References in corpus (1)

• Exponential laws for spaces of differentiable functions on topological groups