{
  "id": "1009.2930",
  "version": "v3",
  "published": "2010-09-15T13:58:55.000Z",
  "updated": "2010-11-09T14:28:56.000Z",
  "title": "Classifying spaces and fibrations of simplicial sheaves",
  "authors": [
    "Matthias Wendt"
  ],
  "comment": "34 pages; minor changes, cleaned bibliography, section on Brown representability now uses only Jardine's result",
  "journal": "J. Homotopy Relat. Struct. 6 (2011), no. 1, 1-38",
  "categories": [
    "math.AT"
  ],
  "abstract": "In this paper, we discuss the construction of classifying spaces of fibre sequences in model categories of simplicial sheaves. One construction proceeds via Brown representability and provides a classification in the pointed model category. The second construction is given by the classifying space of the monoid of homotopy self-equivalences of a simplicial sheaf and provides the unpointed classification.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-11-09T14:28:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "18F20",
      "55R15"
    ],
    "keywords": [
      "classifying space",
      "simplicial sheaves",
      "fibrations",
      "simplicial sheaf",
      "construction proceeds"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1009.2930W"
    }
  }
}