{
  "id": "1812.03840",
  "version": "v1",
  "published": "2018-12-06T21:27:40.000Z",
  "updated": "2018-12-06T21:27:40.000Z",
  "title": "A locally hyperbolic 3-manifold that is not homotopy equivalent to any hyperbolic 3-manifold",
  "authors": [
    "Tommaso Cremaschi"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1711.11568",
  "categories": [
    "math.GT"
  ],
  "abstract": "We construct a locally hyperbolic 3-manifold $M$ such that $\\pi_ 1(M)$ has no divisible subgroups. We then show that $M$ is not homotopy equivalent to any complete hyperbolic manifold.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-12-06T21:27:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "homotopy equivalent",
      "locally hyperbolic",
      "complete hyperbolic manifold"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}