{
  "id": "1002.1455",
  "version": "v1",
  "published": "2010-02-07T14:19:16.000Z",
  "updated": "2010-02-07T14:19:16.000Z",
  "title": "Potential Wadge classes",
  "authors": [
    "Dominique Lecomte"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "Let $\\bf\\Gamma$ be a Borel class, or a Wadge class of Borel sets, and $2\\leq d\\leq\\omega$ a cardinal. We study the Borel subsets of ${\\mathbb R}^d$ that can be made $\\bf\\Gamma$ by refining the Polish topology on the real line. These sets are called potentially $\\bf\\Gamma$. We give a test to recognize potentially $\\bf\\Gamma$ sets.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-02-07T14:19:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E15",
      "54H05",
      "28A05",
      "26A21"
    ],
    "keywords": [
      "potential wadge classes",
      "borel sets",
      "borel class",
      "borel subsets",
      "real line"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1002.1455L"
    }
  }
}