{
  "id": "math/0601721",
  "version": "v3",
  "published": "2006-01-30T05:56:55.000Z",
  "updated": "2007-01-31T01:17:42.000Z",
  "title": "The universal cover of 3-manifolds built from injective handlebodies is $\\mathbb R^3$",
  "authors": [
    "James Coffey"
  ],
  "comment": "21 pages, 9 figures. Minor gramatical changes",
  "categories": [
    "math.GT"
  ],
  "abstract": "This paper gives a proof that the universal cover of a closed 3-manifold built from three $\\pi_1$-injective handlebodies is homeomorphic to $\\mathbb R^3$. This construction is an extension to handlebodies of the conditions for gluing of three solid tori to produce non-Haken Seifert fibered manifolds with infinite fundamental group. This class of manifolds has been shown to contain non-Haken non-Seifert fibered manifolds.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2007-01-31T01:17:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "universal cover",
      "injective handlebodies",
      "produce non-haken seifert fibered manifolds",
      "contain non-haken non-seifert fibered manifolds",
      "infinite fundamental group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......1721C"
    }
  }
}