{
  "id": "0810.5641",
  "version": "v3",
  "published": "2008-10-31T09:02:42.000Z",
  "updated": "2011-07-24T18:55:40.000Z",
  "title": "Forcings constructed along morasses",
  "authors": [
    "Bernhard Irrgang"
  ],
  "comment": "accepted for the Journal of Symbolic Logic, various minor changes were made to the previous version",
  "categories": [
    "math.LO"
  ],
  "abstract": "In a previous paper, we introduced a way of constructing a forcing along a simplified gap-1 morass such that the forcing satisfies a chain condition. Now, we generalize this to gap-2 morasses. As an application, we prove that GCH is consistent with the existence of a 0-dimensional Hausdorff topology on $\\omega_3$ which has spread $\\omega_1$.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-07-24T18:55:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E05",
      "03E35",
      "03E40"
    ],
    "keywords": [
      "hausdorff topology",
      "chain condition",
      "application"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0810.5641I"
    }
  }
}