{
  "id": "1010.0717",
  "version": "v2",
  "published": "2010-10-04T22:06:50.000Z",
  "updated": "2012-04-24T00:20:14.000Z",
  "title": "Homotopy limits of model categories and more general homotopy theories",
  "authors": [
    "Julia E. Bergner"
  ],
  "comment": "10 pages; a few minor changes made. arXiv admin note: text overlap with arXiv:0811.3175",
  "doi": "10.1112/blms/bdr095",
  "categories": [
    "math.AT",
    "math.CT"
  ],
  "abstract": "Generalizing a definition of homotopy fiber products of model categories, we give a definition of the homotopy limit of a diagram of left Quillen functors between model categories. As has been previously shown for homotopy fiber products, we prove that such a homotopy limit does in fact correspond to the usual homotopy limit, when we work in a more general model for homotopy theories in which they can be regarded as objects of a model category.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-04-24T00:20:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55U40",
      "55U35",
      "18G55",
      "18G30",
      "18D20"
    ],
    "keywords": [
      "model category",
      "general homotopy theories",
      "homotopy fiber products",
      "left quillen functors",
      "usual homotopy limit"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1010.0717B"
    }
  }
}