{
  "id": "1402.0367",
  "version": "v3",
  "published": "2014-02-03T12:43:45.000Z",
  "updated": "2015-05-20T20:16:16.000Z",
  "title": "Creature forcing and five cardinal characteristics in Cichoń's diagram",
  "authors": [
    "Arthur Fischer",
    "Martin Goldstern",
    "Jakob Kellner",
    "Saharon Shelah"
  ],
  "comment": "(new version: some typos corrected, presentation improved, but no substantial changes)",
  "categories": [
    "math.LO"
  ],
  "abstract": "We use a (countable support) creature construction to show that consistently \\[ \\mathfrak d=\\aleph_1= \\text{cov}(\\text{NULL}) < \\text{non}(\\text{MEAGER}) < \\text{non}(\\text{NULL}) < \\text{cof}(\\text{NULL}) < 2^{\\aleph_0}. \\] The same method shows the consistency of \\[ \\mathfrak d=\\aleph_1= \\text{cov}(\\text{NULL}) < \\text{non}(\\text{NULL}) < \\text{non}(\\text{MEAGER}) < \\text{cof}(\\text{NULL}) < 2^{\\aleph_0}. \\]",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-06-09T18:58:06.000Z",
      "comment": "(in this version, some pictures were added and some oversights corrected)",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2015-05-20T20:16:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cichońs diagram",
      "cardinal characteristics",
      "creature forcing"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1402.0367F"
    }
  }
}