{
  "id": "1006.1720",
  "version": "v1",
  "published": "2010-06-09T07:23:18.000Z",
  "updated": "2010-06-09T07:23:18.000Z",
  "title": "Wide scattered spaces and morasses",
  "authors": [
    "Lajos Soukup"
  ],
  "comment": "14 pages",
  "categories": [
    "math.LO",
    "math.GN"
  ],
  "abstract": "We show that it is relatively consistent with ZFC that 2^omega is arbitrarily large and every sequence s=(s_i:i<omega_2) of infinite cardinals with s_i<=2^omega is the cardinal sequence of some locally compact scattered space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-06-09T07:23:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54A25",
      "06E05",
      "54G12",
      "03E20"
    ],
    "keywords": [
      "wide scattered spaces",
      "locally compact scattered space",
      "cardinal sequence",
      "infinite cardinals",
      "relatively consistent"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1006.1720S"
    }
  }
}