{
  "id": "math/0003034",
  "version": "v1",
  "published": "2000-03-05T21:43:30.000Z",
  "updated": "2000-03-05T21:43:30.000Z",
  "title": "Invertible knot concordances and prime knots",
  "authors": [
    "Se-Goo Kim"
  ],
  "comment": "6 pages, 3 figures, LaTeX 2e",
  "categories": [
    "math.GT"
  ],
  "abstract": "Kirby and Lickorish showed that every knot in the 3-sphere is concordant to a prime knot, equivalently, every concordance class contains a prime knot. We prove here that their result can be strengthened: Every knot in the 3-sphere is invertibly concordant to a prime knot. A consequence is that every double concordance class contains a prime knot.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-03-05T21:43:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25"
    ],
    "keywords": [
      "prime knot",
      "invertible knot concordances",
      "double concordance class contains",
      "invertibly concordant",
      "consequence"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......3034K"
    }
  }
}