{
  "id": "1801.02517",
  "version": "v1",
  "published": "2018-01-08T15:44:26.000Z",
  "updated": "2018-01-08T15:44:26.000Z",
  "title": "On the cofinality of the splitting number",
  "authors": [
    "Alan Dow",
    "Saharon Shelah"
  ],
  "journal": "Indag. Math. (N.S.) 29 (2018), no 1, 382-395",
  "categories": [
    "math.LO"
  ],
  "abstract": "The splitting number can be singular. The key method is to construct a forcing poset with finite support matrix iterations of ccc posets introduced by Blass and the second author \"Ultrafilters with small generating sets\", Israel J. Math., 65, (1989)",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-01-08T15:44:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E15"
    ],
    "keywords": [
      "splitting number",
      "cofinality",
      "finite support matrix iterations",
      "small generating sets",
      "ccc posets"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}