{
  "id": "0709.3534",
  "version": "v2",
  "published": "2007-09-21T23:46:14.000Z",
  "updated": "2007-10-06T16:58:08.000Z",
  "title": "Meridional Almost Normal Surfaces in Knot Complements",
  "authors": [
    "Robin T. Wilson"
  ],
  "comment": "23 pages, 9 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "Suppose $K$ is a knot in a closed 3-manifold $M$ such that $\\bar{M-N(K)}$ is irreducible. We show that for any positive integer $b$ there exists a triangulation of $\\bar{M-N(K)}$ such that any weakly incompressible bridge surface for $K$ of $b$ bridges or fewer is isotopic to an almost normal bridge surface.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-10-06T16:58:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M99"
    ],
    "keywords": [
      "normal surfaces",
      "knot complements",
      "meridional",
      "normal bridge surface",
      "weakly incompressible bridge surface"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0709.3534W"
    }
  }
}