{
  "id": "0903.3514",
  "version": "v1",
  "published": "2009-03-20T13:05:39.000Z",
  "updated": "2009-03-20T13:05:39.000Z",
  "title": "Selections, Paracompactness and Compactness",
  "authors": [
    "Mitrofan M. Choban",
    "Ekaterina P. Mihaylova",
    "Stoyan I. Nedev"
  ],
  "comment": "23 pages",
  "categories": [
    "math.GN"
  ],
  "abstract": "In the present paper, the Lindelof number and the degree of compactness of spaces and of the cozero-dimensional kernel of paracompact spaces are characterized in terms of selections of lower semi-continuous closed-valued mappings into complete metrizable (or discrete) spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-03-20T13:05:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54C60",
      "54C65",
      "54D20"
    ],
    "keywords": [
      "selections",
      "paracompactness",
      "lindelof number",
      "cozero-dimensional kernel",
      "paracompact spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0903.3514C"
    }
  }
}