{
  "id": "math/9512226",
  "version": "v1",
  "published": "1995-12-15T00:00:00.000Z",
  "updated": "1995-12-15T00:00:00.000Z",
  "title": "Menas' result is best possible",
  "authors": [
    "Arthur Apter",
    "Saharon Shelah"
  ],
  "journal": "Trans. Amer. Math. Soc. 349 (1997), 2007-2034",
  "categories": [
    "math.LO"
  ],
  "abstract": "Generalizing some earlier techniques due to the second author, we show that Menas' theorem which states that the least cardinal kappa which is a measurable limit of supercompact or strongly compact cardinals is strongly compact but not 2^kappa supercompact is best possible. Using these same techniques, we also extend and give a new proof of a theorem of Woodin and extend and give a new proof of an unpublished theorem due to the first author.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1995-12-15T00:00:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "second author",
      "first author",
      "cardinal kappa",
      "strongly compact cardinals",
      "supercompact"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "Trans. Amer. Math. Soc."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1995math.....12226A"
    }
  }
}