{
  "id": "1709.01296",
  "version": "v1",
  "published": "2017-09-05T09:13:16.000Z",
  "updated": "2017-09-05T09:13:16.000Z",
  "title": "On the bordification of outer space",
  "authors": [
    "Kai-Uwe Bux",
    "Peter Smillie",
    "Karen Vogtmann"
  ],
  "comment": "28 pages",
  "categories": [
    "math.GR"
  ],
  "abstract": "We give a simple construction of an equivariant deformation retract of Outer space which is homeomorphic to the Bestvina-Feighn bordification. This results in a much easier proof that the bordification is (2n-5)-connected at infinity, and hence that $Out(F_n)$ is a virtual duality group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-09-05T09:13:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20E36",
      "20F65",
      "57M07"
    ],
    "keywords": [
      "outer space",
      "equivariant deformation retract",
      "virtual duality group",
      "simple construction",
      "bestvina-feighn bordification"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}