{
  "id": "1105.4492",
  "version": "v1",
  "published": "2011-05-23T13:18:55.000Z",
  "updated": "2011-05-23T13:18:55.000Z",
  "title": "Borel equivalence relations between \\ell_1 and \\ell_p",
  "authors": [
    "Longyun Ding",
    "Zhi Yin"
  ],
  "comment": "7 pages, submitted",
  "categories": [
    "math.LO",
    "math.FA"
  ],
  "abstract": "In this paper, we show that, for each $p>1$, there are continuum many Borel equivalence relations between $\\Bbb R^\\omega/\\ell_1$ and $\\Bbb R^\\omega/\\ell_p$ ordered by $\\le_B$ which are pairwise Borel incomparable.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-05-23T13:18:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E15",
      "46F45"
    ],
    "keywords": [
      "borel equivalence relations",
      "pairwise borel"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1105.4492D"
    }
  }
}