{
  "id": "1212.3085",
  "version": "v2",
  "published": "2012-12-13T08:21:58.000Z",
  "updated": "2013-04-03T07:54:39.000Z",
  "title": "Strict \\infty-groupoids are Grothendieck \\infty-groupoids",
  "authors": [
    "Dimitri Ara"
  ],
  "comment": "22 pages, v2: revised according to referee's comments, in particular: new organization of the paper",
  "journal": "Journal of Pure and Applied Algebra 217(12) (2013), 2298-2312",
  "doi": "10.1016/j.jpaa.2013.03.008",
  "categories": [
    "math.AT",
    "math.CT"
  ],
  "abstract": "We show that there exists a canonical functor from the category of strict \\infty-groupoids to the category of Grothendieck \\infty-groupoids and that this functor is fully faithful. As a main ingredient, we prove that free strict \\infty-groupoids on a globular pasting scheme are weakly contractible.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-04-03T07:54:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "18D05",
      "18G55",
      "55P15",
      "55Q05",
      "55U40"
    ],
    "keywords": [
      "grothendieck",
      "main ingredient",
      "free strict"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1212.3085A"
    }
  }
}