{
  "id": "2308.15607",
  "version": "v1",
  "published": "2023-08-29T19:59:03.000Z",
  "updated": "2023-08-29T19:59:03.000Z",
  "title": "The Alexander trick for homology spheres",
  "authors": [
    "Soren Galatius",
    "Oscar Randal-Williams"
  ],
  "comment": "14 pages",
  "categories": [
    "math.GT",
    "math.AT"
  ],
  "abstract": "We show that the group of homeomorphisms of a compact contractible $d$-manifold which fix the boundary is contractible, as long as $d \\geq 6$. We deduce this from a strong uniqueness statement for one-sided $h$-cobordisms.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-08-29T19:59:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57S05",
      "58D05",
      "57N65"
    ],
    "keywords": [
      "homology spheres",
      "alexander trick",
      "strong uniqueness statement",
      "cobordisms",
      "homeomorphisms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}