{
  "id": "1201.2134",
  "version": "v3",
  "published": "2012-01-10T18:30:40.000Z",
  "updated": "2013-04-08T13:53:54.000Z",
  "title": "On the homotopy theory of enriched categories",
  "authors": [
    "Clemens Berger",
    "Ieke Moerdijk"
  ],
  "comment": "v3: statement of Lemma 2.15 corrected",
  "categories": [
    "math.AT",
    "math.CT"
  ],
  "abstract": "We give sufficient conditions for the existence of a Quillen model structure on small categories enriched in a given monoidal model category. This yields a unified treatment for the known model structures on simplicial, topological, dg- and spectral categories. Our proof is mainly based on a fundamental property of cofibrant enriched categories on two objects, stated below as the Interval Cofibrancy Theorem.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-04-08T13:53:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55U35",
      "18D20"
    ],
    "keywords": [
      "homotopy theory",
      "interval cofibrancy theorem",
      "monoidal model category",
      "quillen model structure",
      "sufficient conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1201.2134B"
    }
  }
}