{
  "id": "1006.1949",
  "version": "v2",
  "published": "2010-06-10T05:13:15.000Z",
  "updated": "2010-07-05T03:41:42.000Z",
  "title": "A functor-valued extension of knot quandles",
  "authors": [
    "Tetsuya Ito"
  ],
  "comment": "17 pages, 7 figures, typos and inconsintent notations are corrected",
  "journal": "J. Math. Soc. Japan Volume 64, Number 4 (2012), 1147-1168",
  "doi": "10.2969/jmsj/06441147",
  "categories": [
    "math.GT"
  ],
  "abstract": "For an oriented knot $K$, we construct a functor from the category of pointed quandles to the category of quandles in three different ways. We also extend the quandle cocycle invariants of knots by using these quandle-valued invariant of knots, and study their properties.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-07-05T03:41:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M27"
    ],
    "keywords": [
      "knot quandles",
      "functor-valued extension",
      "quandle cocycle invariants",
      "properties"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1006.1949I"
    }
  }
}