Products of locally compact spaces are k_R-spaces
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🧮 math.GN
keywords
locallyr-spacescompactproductsspacesassertscompletelyconsequence
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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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