{
  "id": "1112.5772",
  "version": "v3",
  "published": "2011-12-25T09:44:43.000Z",
  "updated": "2012-11-27T08:59:18.000Z",
  "title": "Partition Calculus and Cardinal Invariants",
  "authors": [
    "Shimon Garti",
    "Saharon Shelah"
  ],
  "comment": "13 pages",
  "journal": "Journal of Mathematical Society of Japan, 66,2 (2014)",
  "categories": [
    "math.LO"
  ],
  "abstract": "We prove that the strong polarized relation of $\\theta$ above $\\omega$ applied simultaneously for every cardinal in the interval $[\\aleph_1,\\aleph]$ is consistent. We conclude that this positive relation is consistent for every cardinal invariant on the continuum. We show that similar results hold for a supercompact cardinal, and for a strong limit singular under some assumptions.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2012-11-27T08:59:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E05",
      "03E35"
    ],
    "keywords": [
      "cardinal invariant",
      "partition calculus",
      "similar results hold",
      "strong limit singular",
      "strong polarized relation"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1112.5772G"
    }
  }
}