{
  "id": "0712.0584",
  "version": "v1",
  "published": "2007-12-04T18:19:30.000Z",
  "updated": "2007-12-04T18:19:30.000Z",
  "title": "Cardinal sequences of LCS spaces under GCH",
  "authors": [
    "Juan Carlos Martinez",
    "Lajos Soukup"
  ],
  "categories": [
    "math.LO",
    "math.GN"
  ],
  "abstract": "We give full characterization of the sequences of regular cardinals that may arise as cardinal sequences of locally compact scattered spaces under GCH. The proofs are based on constructions of universal locally compact scattered spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-12-04T18:19:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54A25",
      "06E05",
      "54G12",
      "03E35",
      "03E05"
    ],
    "keywords": [
      "cardinal sequences",
      "lcs spaces",
      "universal locally compact scattered spaces",
      "full characterization",
      "regular cardinals"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0712.0584M"
    }
  }
}