{
  "id": "1711.01995",
  "version": "v1",
  "published": "2017-11-06T16:31:35.000Z",
  "updated": "2017-11-06T16:31:35.000Z",
  "title": "Double Homotopy (Co)Limits for Relative Categories",
  "authors": [
    "Kay Werndli"
  ],
  "comment": "34 pages",
  "categories": [
    "math.AT"
  ],
  "abstract": "We answer the question to what extent homotopy (co)limits in categories with weak equivalences allow for a Fubini-type interchange law. The main obstacle is that we do not assume our categories with weak equivalences to come equipped with a calculus for homotopy (co)limits, such as a derivator.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-11-06T16:31:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55U35",
      "18A30",
      "18A40",
      "18G10",
      "18G55"
    ],
    "keywords": [
      "relative categories",
      "double homotopy",
      "weak equivalences",
      "fubini-type interchange law",
      "extent homotopy"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}