{
  "id": "1304.2323",
  "version": "v2",
  "published": "2013-04-08T19:23:14.000Z",
  "updated": "2015-10-30T02:32:18.000Z",
  "title": "AD and Jónsson cardinals in L(R)",
  "authors": [
    "Steve Jackson",
    "Richard Ketchersid",
    "Farmer Schlutzenberg",
    "W. Hugh Woodin"
  ],
  "comment": "This version corresponds to the published version. The formatting in the published version differs a little from this version. 17 pages",
  "journal": "The Journal of Symbolic Logic, Volume 79, Issue 4, December 2014, pp. 1184--1198",
  "doi": "10.1017/jsl.2014.49",
  "categories": [
    "math.LO"
  ],
  "abstract": "Assume $\\mathsf{ZF}+\\mathsf{AD}+V=L(\\mathbb{R})$ and let $\\kappa<\\Theta$ be an uncountable cardinal. We show that $\\kappa$ is J\\'onsson, and that if $\\mathrm{cof}(\\kappa)=\\omega$ then $\\kappa$ is Rowbottom. We also establish some other partition properties.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-04-08T19:23:14.000Z",
      "abstract": "Assume ZF+AD+V=L(R) and let \\kappa<\\Theta\\ be an uncountable cardinal. We show that \\kappa\\ is J\\'onsson, and that if cof(\\kappa)=\\omega\\ then \\kappa\\ is Rowbottom. We also establish some other partition properties.",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-10-30T02:32:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E45",
      "03E60",
      "03E02",
      "03E55"
    ],
    "keywords": [
      "jónsson cardinals",
      "partition properties",
      "uncountable cardinal"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1304.2323J"
    }
  }
}