{
  "id": "1002.2585",
  "version": "v3",
  "published": "2010-02-12T16:16:40.000Z",
  "updated": "2010-04-18T16:52:27.000Z",
  "title": "Properties D and aD are different",
  "authors": [
    "Daniel Soukup"
  ],
  "comment": "17 pages, corrected, restructured and extended with a stronger result",
  "categories": [
    "math.GN"
  ],
  "abstract": "Under $(\\diamondsuit^*)$ we construct a locally countable, locally compact, 0-dimensional $T_2$ space $X$ of size $\\omg$ which is aD however not even linearly D. This consistently answers a question of Arhangel'skii, whether aD implies D. Furthermore we answer two problems concerning characterization of linearly D-spaces, raised by Guo and Junnila.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-04-18T16:52:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54A25",
      "54A35"
    ],
    "keywords": [
      "properties",
      "ad implies",
      "problems concerning characterization",
      "consistently answers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1002.2585S"
    }
  }
}