{
  "id": "1510.08969",
  "version": "v1",
  "published": "2015-10-30T05:06:26.000Z",
  "updated": "2015-10-30T05:06:26.000Z",
  "title": "The complexity of the classification problem of continua",
  "authors": [
    "Cheng Chang",
    "Su Gao"
  ],
  "categories": [
    "math.LO",
    "math.GN"
  ],
  "abstract": "We prove that the homeomorphism problem for connected compact metric spaces is Borel bireducible with a universal orbit equivalence relation induced by a Borel action of a Polish group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-30T05:06:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E15",
      "54F15",
      "54H05",
      "46E15"
    ],
    "keywords": [
      "classification problem",
      "complexity",
      "universal orbit equivalence relation",
      "connected compact metric spaces",
      "homeomorphism problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}