{
  "id": "1412.0428",
  "version": "v1",
  "published": "2014-12-01T11:09:39.000Z",
  "updated": "2014-12-01T11:09:39.000Z",
  "title": "Hanf number for the strictly stable cases",
  "authors": [
    "Saharon Shelah"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "Suppose t = (T,T_1, p) is a triple of two theories in vocabularies tau subset tau_1 of cardinality lambda and a tau_1-type p over the empty set; here we fix T and assume it is stable. We show the Hanf number for the property: \"there is a model M_1 of T_1 which omits p, but M_1 restricted to tau is saturated\" is larger than the Hanf number of L_{lambda^+, kappa} but smaller than the Hanf number of L_{(2^lambda)^+, kappa} when T is stable with kappa = kappa(T).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-01T11:09:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03C75",
      "03C45",
      "03C55",
      "03C50"
    ],
    "keywords": [
      "hanf number",
      "strictly stable cases",
      "vocabularies tau subset",
      "empty set",
      "cardinality lambda"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1412.0428S"
    }
  }
}