{
  "id": "1312.2064",
  "version": "v1",
  "published": "2013-12-07T07:26:24.000Z",
  "updated": "2013-12-07T07:26:24.000Z",
  "title": "On countable cofinality of definable chains in Borel partial orders",
  "authors": [
    "Vladimir Kanovei"
  ],
  "comment": "6 pages",
  "categories": [
    "math.LO"
  ],
  "abstract": "We prove that in some cases definable chains of Borel partial orderings are necessarily countably cofinal. This includes the following cases: analytic chains, ROD chains in the Solovay model, and $\\Sigma^1_2$ chains in the assumption that $\\omega_1^{L[x]}<\\omega_1$ for all reals $x$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-12-07T07:26:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E15"
    ],
    "keywords": [
      "borel partial orders",
      "countable cofinality",
      "borel partial orderings",
      "cases definable chains",
      "solovay model"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1312.2064K"
    }
  }
}