{
  "id": "math/9712255",
  "version": "v2",
  "published": "1997-12-16T21:52:49.000Z",
  "updated": "1999-03-01T00:00:00.000Z",
  "title": "Scharlemann's manifold is standard",
  "authors": [
    "Selman Akbulut"
  ],
  "comment": "14 pages, published version",
  "journal": "Ann. of Math. (2) 149 (1999), no. 2, 497-510",
  "categories": [
    "math.GT"
  ],
  "abstract": "In his 1974 thesis, Martin Scharlemann constructed a fake homotopy equivalence from a closed smooth manifold f:Q -> S^3 x S^1 # S^2 x S^2 and asked whether the manifold Q itself is diffeomorphic to S^3 x S^1 # S^2 x S^2. Here we answer this question affirmatively.",
  "revisions": [
    {
      "version": "v2",
      "updated": "1999-03-01T00:00:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "scharlemanns manifold",
      "fake homotopy equivalence",
      "closed smooth manifold",
      "martin scharlemann",
      "diffeomorphic"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Princeton University and the Institute for Advanced Study",
      "journal": "Ann. Math."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1997math.....12255A"
    }
  }
}