{
  "id": "1801.02006",
  "version": "v1",
  "published": "2018-01-06T12:02:57.000Z",
  "updated": "2018-01-06T12:02:57.000Z",
  "title": "Products of locally compact spaces are k_R-spaces",
  "authors": [
    "Helge Glockner",
    "Niku Masbough"
  ],
  "comment": "3 pages, LaTeX",
  "categories": [
    "math.GN"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-01-06T12:02:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54D50",
      "54D45"
    ],
    "keywords": [
      "locally compact spaces",
      "locally compact hausdorff spaces",
      "direct products",
      "locally pseudo-compact",
      "streamlined proof"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 3,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}