{
  "id": "2001.10873",
  "version": "v1",
  "published": "2020-01-29T14:49:12.000Z",
  "updated": "2020-01-29T14:49:12.000Z",
  "title": "Model category structures on multicomplexes",
  "authors": [
    "Xin Fu",
    "Ai Guan",
    "Muriel Livernet",
    "Sarah Whitehouse"
  ],
  "comment": "23 pages",
  "categories": [
    "math.AT"
  ],
  "abstract": "We present a family of model structures on the category of multicomplexes. There is a cofibrantly generated model structure in which the weak equivalences are the morphisms inducing an isomorphism at a fixed stage of an associated spectral sequence. Corresponding model structures are given for truncated versions of multicomplexes, interpolating between bicomplexes and multicomplexes. For a fixed stage of the spectral sequence, the model structures on all these categories are shown to be Quillen equivalent.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-01-29T14:49:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "18G55",
      "18G40"
    ],
    "keywords": [
      "model category structures",
      "multicomplexes",
      "fixed stage",
      "quillen equivalent",
      "cofibrantly generated model structure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}