{
  "id": "math/0007068",
  "version": "v1",
  "published": "2000-07-11T20:08:36.000Z",
  "updated": "2000-07-11T20:08:36.000Z",
  "title": "Combinatorial model categories have presentations",
  "authors": [
    "Daniel Dugger"
  ],
  "categories": [
    "math.AT"
  ],
  "abstract": "We show that every combinatorial model category can be obtained, up to Quillen equivalence, by localizing a model category of diagrams of simplicial sets. This says that any combinatorial model category can be built up from a category of `generators' and a set of `relations'---that is, any combinatorial model category has a presentation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-07-11T20:08:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "combinatorial model category",
      "presentation",
      "quillen equivalence",
      "simplicial sets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......7068D"
    }
  }
}