{
  "id": "0811.3175",
  "version": "v3",
  "published": "2008-11-19T19:04:24.000Z",
  "updated": "2009-10-09T21:01:53.000Z",
  "title": "Homotopy fiber products of homotopy theories",
  "authors": [
    "Julia E. Bergner"
  ],
  "comment": "17 pages; generally cleaned up, have localized model structure in specialized cases",
  "categories": [
    "math.AT",
    "math.CT"
  ],
  "abstract": "Given an appropriate diagram of left Quillen functors between model categories, one can define a notion of homotopy fiber product, but one might ask if it is really the correct one. Here, we show that this homotopy pullback is well-behaved with respect to translating it into the setting of more general homotopy theories, given by complete Segal spaces, where we have well-defined homotopy pullbacks.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-10-09T21:01:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55U40",
      "55U35",
      "18G55",
      "18G30",
      "18D20"
    ],
    "keywords": [
      "homotopy fiber product",
      "left quillen functors",
      "general homotopy theories",
      "complete segal spaces",
      "appropriate diagram"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0811.3175B"
    }
  }
}