{
  "id": "math/0208182",
  "version": "v1",
  "published": "2002-08-23T12:56:38.000Z",
  "updated": "2002-08-23T12:56:38.000Z",
  "title": "The Locally Fine Coreflection and Normal Covers in the Products of Partition-complete Spaces",
  "authors": [
    "Aarno Hohti",
    "Miroslav Husek",
    "Jan Pelant"
  ],
  "comment": "15 pages",
  "categories": [
    "math.GN"
  ],
  "abstract": "We prove that the countable product of supercomplete spaces having a countable closed cover consisting of partition-complete subspaces is supercomplete with respect to its metric-fine coreflection. Thus, countable products of sigma-partition-complete paracompact spaces are again paracompact. On the other hand, we show that in arbitrary products of partition-complete paracompact spaces, all normal covers can be obtained via the locally fine coreflection of the product of fine uniformities.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-08-23T12:56:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54B10",
      "54E15",
      "54D20"
    ],
    "keywords": [
      "locally fine coreflection",
      "normal covers",
      "partition-complete spaces",
      "sigma-partition-complete paracompact spaces",
      "countable product"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......8182H"
    }
  }
}