{
  "id": "0710.0154",
  "version": "v1",
  "published": "2007-09-30T16:00:13.000Z",
  "updated": "2007-09-30T16:00:13.000Z",
  "title": "Hurewicz-like tests for Borel subsets of the plane",
  "authors": [
    "Dominique Lecomte"
  ],
  "journal": "Electronic Research Announcements of the American Mathematical Society 11 (2005) 95-102",
  "categories": [
    "math.LO",
    "math.GN"
  ],
  "abstract": "Let xi be a non-null countable ordinal. We study the Borel subsets of the plane that can be made $\\bormxi$ by refining the Polish topology on the real line. These sets are called potentially $\\bormxi$. We give a Hurewicz-like test to recognize potentially $\\bormxi$ sets.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-09-30T16:00:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E15",
      "54H05"
    ],
    "keywords": [
      "borel subsets",
      "hurewicz-like test",
      "non-null countable ordinal",
      "real line"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "Electron. Res. Announc. Amer. Math. Soc."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0710.0154L"
    }
  }
}