{
  "id": "math/0407225",
  "version": "v4",
  "published": "2004-07-13T19:30:08.000Z",
  "updated": "2007-04-30T18:38:59.000Z",
  "title": "I[omega_2] can be the nonstationary ideal on Cof(omega_1)",
  "authors": [
    "William J. Mitchell"
  ],
  "comment": "version 4 of the paper has been extensively revised in response to the referee report from TAMS. I expect it to appear in TAMS",
  "categories": [
    "math.LO"
  ],
  "abstract": "We answer a question of Shelah by showing that it is consistent that every set of ordinals of cofinality omega_1 in I[omega_2] is nonstationary if and only if it is consistent that that there is a kappa^+ Mahlo cardinal kappa.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2007-04-30T18:38:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E35"
    ],
    "keywords": [
      "nonstationary ideal",
      "mahlo cardinal kappa",
      "consistent",
      "cofinality"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......7225M"
    }
  }
}