{
  "id": "math/9404204",
  "version": "v1",
  "published": "1994-04-10T00:00:00.000Z",
  "updated": "1994-04-10T00:00:00.000Z",
  "title": "Blowing up the power of a singular cardinal",
  "authors": [
    "Moti Gitik"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "Suppose that kappa is a singular cardinal of cofinality omega and GCH holds. Assume that for every n<omega the set of alphas with o(alpha)>= alpha^{+n} is unbounded in kappa.Then there is a cardinal preserving extension satisfying 2^kappa=kappa^++ and GCH below kappa. By a result of W. Mitchell and the author the assumptions are optimal.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1994-04-10T00:00:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "singular cardinal",
      "gch holds",
      "cofinality omega",
      "cardinal preserving extension satisfying",
      "assumptions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1994math......4204G"
    }
  }
}