{
  "id": "1103.0256",
  "version": "v2",
  "published": "2011-03-01T19:38:58.000Z",
  "updated": "2012-08-27T13:50:10.000Z",
  "title": "On low dimensional KC-spaces",
  "authors": [
    "Paul Fabel"
  ],
  "comment": "14 pages -- errors corrected, abstract and introduction rewritten, and several references added",
  "categories": [
    "math.GN"
  ],
  "abstract": "The KC property, a separation axiom between weakly Hausdorff and Hausdorff, requires compact subsets to be closed. Various assumptions involving local conditions, dimension, connectivity, and homotopy show certain KC-spaces are in fact Hausdorff. Several low dimensional examples of compact, connected, non-Hausdorff KC-spaces are exhibited in which the nested intersection of compact connected subsets fails to be connected.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-08-27T13:50:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54F50"
    ],
    "keywords": [
      "low dimensional kc-spaces",
      "low dimensional examples",
      "compact connected subsets fails",
      "separation axiom",
      "local conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1103.0256F"
    }
  }
}