{
  "id": "1201.1713",
  "version": "v2",
  "published": "2012-01-09T09:12:51.000Z",
  "updated": "2012-05-31T04:54:33.000Z",
  "title": "The ultrafilter number for singular cardinals",
  "authors": [
    "Shimon Garti",
    "Saharon Shelah"
  ],
  "comment": "8 pages",
  "journal": "Acta Mathematica Hungarica, 137,4 (2012) pp. 296-301",
  "doi": "10.1007/s10474-012-0245-0",
  "categories": [
    "math.LO"
  ],
  "abstract": "We prove the consistency of a singular cardinal $\\lambda$ with small value of the ultrafilter number $u_\\lambda$, and arbitrarily large value of $2^\\lambda$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-05-31T04:54:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E05",
      "03E55"
    ],
    "keywords": [
      "singular cardinal",
      "ultrafilter number",
      "arbitrarily large value"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1201.1713G"
    }
  }
}