{
  "id": "0804.3581",
  "version": "v1",
  "published": "2008-04-22T18:36:03.000Z",
  "updated": "2008-04-22T18:36:03.000Z",
  "title": "A colimit of classifying spaces",
  "authors": [
    "Graham Ellis",
    "Roman Mikhailov"
  ],
  "comment": "16 pages",
  "journal": "Advances in Math. 223 (2010), 2097-2113",
  "categories": [
    "math.GR",
    "math.AT"
  ],
  "abstract": "We recall a group-theoretic description of the first non-vanishing homotopy group of a certain (n+1)-ad of spaces and show how it yields several formulae for homotopy and homology groups of specific spaces. In particular we obtain an alternative proof of J. Wu's group-theoretic description of the homotopy groups of a 2-sphere.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-04-22T18:36:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "classifying spaces",
      "wus group-theoretic description",
      "first non-vanishing homotopy group",
      "homology groups",
      "specific spaces"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Adv. Math."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0804.3581E"
    }
  }
}