{
  "id": "1211.5209",
  "version": "v2",
  "published": "2012-11-22T05:53:08.000Z",
  "updated": "2012-12-11T03:08:21.000Z",
  "title": "Matrix iterations and Cichon's diagram",
  "authors": [
    "Diego Alejandro Mejía"
  ],
  "comment": "14 pages, 2 figures, article in press for the journal Archive for Mathematical Logic",
  "journal": "Arch. Math. Logic 52 (2013) 261-278",
  "doi": "10.1007/s00153-012-0315-6",
  "categories": [
    "math.LO"
  ],
  "abstract": "Using matrix iterations of ccc posets, we prove the consistency with ZFC of some cases where the cardinals on the right hand side of Cichon's diagram take two or three arbitrary values (two regular values, the third one with uncountable cofinality). Also, mixing this with the techniques in J Symb Log 56(3):795-810, 1991, we can prove that it is consistent with ZFC to assign, at the same time, several arbitrary regular values on the left hand side of Cichon's diagram.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-12-11T03:08:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E17",
      "03E35",
      "03E40"
    ],
    "keywords": [
      "cichons diagram",
      "matrix iterations",
      "arbitrary regular values",
      "left hand side",
      "right hand side"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1211.5209A"
    }
  }
}