{
  "id": "math/9811037",
  "version": "v3",
  "published": "1998-11-06T21:13:55.000Z",
  "updated": "2000-03-10T19:59:03.000Z",
  "title": "A model for the homotopy theory of homotopy theory",
  "authors": [
    "Charles Rezk"
  ],
  "comment": "revisions for publication, to appear in AMS Trans",
  "journal": "Trans. Amer. Math. Soc. 353 (2001), 973-1007",
  "categories": [
    "math.AT",
    "math.CT"
  ],
  "abstract": "We describe a category, the objects of which may be viewed as models for homotopy theories. We show that for such models, ``functors between two homotopy theories form a homotopy theory'', or more precisely that the category of such models has a well-behaved internal hom-object.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2000-03-10T19:59:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55U35",
      "18G30"
    ],
    "keywords": [
      "homotopy theory",
      "homotopy theories form",
      "well-behaved internal hom-object"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "Trans. Amer. Math. Soc."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1998math.....11037R"
    }
  }
}