{
  "id": "2011.12842",
  "version": "v1",
  "published": "2020-11-25T15:53:39.000Z",
  "updated": "2020-11-25T15:53:39.000Z",
  "title": "A model structure on the category of diffeological spaces, I",
  "authors": [
    "Tadayuki Haraguchi",
    "Kazuhisa Shimakawa"
  ],
  "comment": "18 pages. In this paper, we amend the proof of \"A model structure on the category of diffeological spaces, arXiv:1311.5668\". Also, only the construction of the model structure is introduced",
  "categories": [
    "math.AT"
  ],
  "abstract": "We construct on the category of diffeological spaces a Quillen model structure having smooth weak homotopy equivalences as the class of weak equivalences.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-11-25T15:53:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "18G55",
      "18B30",
      "55Q05"
    ],
    "keywords": [
      "diffeological spaces",
      "smooth weak homotopy equivalences",
      "quillen model structure",
      "weak equivalences"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}