{
  "id": "math/0311411",
  "version": "v3",
  "published": "2003-11-24T01:57:19.000Z",
  "updated": "2006-06-22T16:47:04.000Z",
  "title": "Sphere Packings in Hyperbolic Space: Periodicity and Continuity",
  "authors": [
    "Lewis Bowen"
  ],
  "comment": "This paper has been withdrawn",
  "categories": [
    "math.MG"
  ],
  "abstract": "This paper is being withdrawn because an error was discovered in lemma 4.3. Although the rest of the paper appears to be correct, this error invalidates the proof of theorem 3.1 and theorem 3.3.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2006-06-22T16:47:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52A40",
      "52C26",
      "52C23"
    ],
    "keywords": [
      "hyperbolic space",
      "sphere packings",
      "periodicity",
      "continuity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}