{
  "id": "math/0404322",
  "version": "v1",
  "published": "2004-04-19T00:17:22.000Z",
  "updated": "2004-04-19T00:17:22.000Z",
  "title": "Cardinal sequences and Cohen real extensions",
  "authors": [
    "István Juhász",
    "Saharon Shelah",
    "Lajos Soukup",
    "Zoltán Szentmiklóssy"
  ],
  "categories": [
    "math.LO",
    "math.GN"
  ],
  "abstract": "We show that if we add any number of Cohen reals to the ground model then, in the generic extension, a locally compact scattered space has at most (2^{aleph_0})^V many levels of size omega. We also give a complete ZFC characterization of the cardinal sequences of regular scattered spaces. Although the classes of the regular and of the 0-dimensional scattered spaces are different, we prove that they have the same cardinal sequences.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-04-19T00:17:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cardinal sequences",
      "cohen real extensions",
      "complete zfc characterization",
      "locally compact scattered space",
      "generic extension"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......4322J"
    }
  }
}