{
  "id": "2004.07306",
  "version": "v1",
  "published": "2020-04-15T19:17:37.000Z",
  "updated": "2020-04-15T19:17:37.000Z",
  "title": "A new approach to mod 2 decompositions of BSU(2) and BSO(3)",
  "authors": [
    "Eva Belmont",
    "Natàlia Castellana",
    "Jelena Grbić",
    "Kathryn Lesh",
    "Michelle Strumila"
  ],
  "comment": "19 pages. Women in Topology 2019",
  "categories": [
    "math.AT"
  ],
  "abstract": "Dwyer, Miller and Wilkerson proved that at the prime 2, the classifying spaces of SU(2) and SO(3) can be obtained as a homotopy pushout of the classifying spaces of certain subgroups. In this paper we show explicitly how these decompositions arise from the fusion systems of SU(2) and SO(3) over maximal discrete 2-toral subgroups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-04-15T19:17:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55R35",
      "20D20",
      "55R40"
    ],
    "keywords": [
      "classifying spaces",
      "maximal discrete",
      "homotopy pushout",
      "decompositions arise",
      "fusion systems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}