{
  "id": "1408.4304",
  "version": "v1",
  "published": "2014-08-19T12:14:57.000Z",
  "updated": "2014-08-19T12:14:57.000Z",
  "title": "On Borel Reducibility in Generalised Baire Space",
  "authors": [
    "Sy-David Friedman",
    "Tapani Hyttinen",
    "Vadim Kulikov"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "In this paper we study the Borel reducibility of Borel equivalence relations, including some orbit equivalence relations, on the generalised Baire space $\\kappa^\\kappa$ for an uncountable $\\kappa$ with the property $\\kappa^{<\\kappa}=\\kappa$. The theory looks quite different from its classical counterpart where $\\kappa=\\omega$, although some basic theorems do generalise.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-08-19T12:14:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E15",
      "03E35"
    ],
    "keywords": [
      "generalised baire space",
      "borel reducibility",
      "borel equivalence relations",
      "orbit equivalence relations",
      "theory looks quite"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1408.4304F"
    }
  }
}