{
  "id": "0811.2254",
  "version": "v2",
  "published": "2008-11-14T02:09:01.000Z",
  "updated": "2008-11-16T19:56:21.000Z",
  "title": "On the tunnel number and the Morse-Novikov number of knots",
  "authors": [
    "A. Pajitnov"
  ],
  "comment": "8 pages, revised and extended",
  "journal": "Algebraic & Geometric Topology 10 (2010), 627 - 635",
  "categories": [
    "math.GT",
    "math.DG"
  ],
  "abstract": "We prove that the Morse-Novikov number of a link L in a 3-sphere is less than or equal to twice the tunnel number of L.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-11-16T19:56:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25"
    ],
    "keywords": [
      "tunnel number",
      "morse-novikov number"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0811.2254P"
    }
  }
}