{
  "id": "1311.5668",
  "version": "v3",
  "published": "2013-11-22T07:57:08.000Z",
  "updated": "2015-04-10T10:12:18.000Z",
  "title": "A model structure on the category of diffeological spaces",
  "authors": [
    "Tadayuki Haraguchi",
    "Kazuhisa Shimakawa"
  ],
  "comment": "18 pages; Revised the proof of the covering homotopy extension property",
  "categories": [
    "math.AT"
  ],
  "abstract": "We construct a finitely generated model category structure on the category of diffeological spaces which is Quillen adjunct to the model structure on the category of topological spaces based on the notions of Serre fibrations and weak homotopy equivalences.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-12-02T12:42:21.000Z",
      "comment": "16 pages; Corrected typos and enhanced argument about Quillen adjunction",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2015-04-10T10:12:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "18G55",
      "55Q05"
    ],
    "keywords": [
      "model structure",
      "diffeological spaces",
      "finitely generated model category structure",
      "weak homotopy equivalences",
      "quillen adjunct"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1311.5668H"
    }
  }
}