{
  "id": "1007.0284",
  "version": "v1",
  "published": "2010-07-02T00:51:12.000Z",
  "updated": "2010-07-02T00:51:12.000Z",
  "title": "Borel reducibility and finitely Holder(α) embeddability",
  "authors": [
    "Longyun Ding"
  ],
  "comment": "18pages, submitted",
  "categories": [
    "math.LO"
  ],
  "abstract": "Let $(X_n,d_n),\\,n\\in\\Bbb N$ be a sequence of pseudo-metric spaces, $p\\ge 1$. For $x,y\\in\\prod_{n\\in\\Bbb N}X_n$, let $(x,y)\\in E((X_n)_{n\\in\\Bbb N};p)\\Leftrightarrow\\sum_{n\\in\\Bbb N}d_n(x(n),y(n))^p<+\\infty$. For Borel reducibility between equivalence relations $E((X_n)_{n\\in\\Bbb N};p)$, we show it is closely related to finitely H\\\"older($\\alpha$) embeddability between pseudo-metric spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-07-02T00:51:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E15",
      "54E35",
      "46A45"
    ],
    "keywords": [
      "borel reducibility",
      "finitely holder",
      "embeddability"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1007.0284D"
    }
  }
}