{
  "id": "1706.09638",
  "version": "v1",
  "published": "2017-06-29T09:25:49.000Z",
  "updated": "2017-06-29T09:25:49.000Z",
  "title": "Compact Cardinals and Eight Values in Cichoń's Diagram",
  "authors": [
    "Jakob Kellner",
    "Anda Tănasie",
    "Fabio Tonti"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "Assuming three strongly compact cardinals, it is consistent that \\[ \\aleph_1 < \\mathrm{add}(\\mathrm{null}) < \\mathrm{cov}(\\mathrm{null}) < \\mathfrak{b} < \\mathfrak{d} < \\mathrm{non}(\\mathrm{null}) < \\mathrm{cof}(\\mathrm{null}) < 2^{\\aleph_0}.\\] Under the same assumption, it is consistent that \\[ \\aleph_1 < \\mathrm{add}(\\mathrm{null}) < \\mathrm{cov}(\\mathrm{null}) < \\mathrm{non}(\\mathrm{meager}) < \\mathrm{cov}(\\mathrm{meager}) < \\mathrm{non}(\\mathrm{null}) < \\mathrm{cof}(\\mathrm{null}) < 2^{\\aleph_0}.\\]",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-06-29T09:25:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E17"
    ],
    "keywords": [
      "cichońs diagram",
      "strongly compact cardinals",
      "consistent"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}