{
  "id": "1011.1691",
  "version": "v2",
  "published": "2010-11-08T00:03:07.000Z",
  "updated": "2011-01-04T17:07:59.000Z",
  "title": "Relative categories: Another model for the homotopy theory of homotopy theories",
  "authors": [
    "C. Barwick",
    "D. M. Kan"
  ],
  "comment": "27 pages. Updated to correct typographical errors",
  "categories": [
    "math.AT",
    "math.CT"
  ],
  "abstract": "We lift Charles Rezk's complete Segal space model structure on the category of simplicial spaces to a Quillen equivalent one on the category of relative categories.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-01-04T17:07:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "homotopy theory",
      "relative categories",
      "lift charles rezks complete segal",
      "complete segal space model structure",
      "rezks complete segal space model"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1011.1691B"
    }
  }
}