{
  "id": "1711.11568",
  "version": "v1",
  "published": "2017-11-30T18:39:38.000Z",
  "updated": "2017-11-30T18:39:38.000Z",
  "title": "A locally hyperbolic 3-manifold that is not hyperbolic",
  "authors": [
    "Tommaso Cremaschi"
  ],
  "comment": "11 pages, 5 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We construct a locally hyperbolic 3-manifold $M_\\infty$ such that $\\pi_ 1(M_\\infty)$ has no divisible subgroup. We then show that $M_\\infty$ is not homeomorphic to any complete hyperbolic manifold. This answers a question of Agol [DHM06,Mar07].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-11-30T18:39:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "locally hyperbolic",
      "complete hyperbolic manifold",
      "homeomorphic",
      "divisible subgroup"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}