{
  "id": "1202.4368",
  "version": "v2",
  "published": "2012-02-20T16:28:06.000Z",
  "updated": "2012-06-21T08:32:42.000Z",
  "title": "Quotients of the topology of the partition lattice which are not homotopy equivalent to wedges of spheres",
  "authors": [
    "Ralf Donau"
  ],
  "comment": "4 pages",
  "categories": [
    "math.AT"
  ],
  "abstract": "The reader of doi:10.1016/j.topol.2010.08.006 might conjecture that \\Delta(\\bar{\\Pi}_n)/G is homotopy equivalent to a wedge of spheres for any n>=3 and any subgroup G<S_n. We disprove this by showing that \\Delta(\\bar{\\Pi}_p)/C_p is not homotopy equivalent to a wedge of spheres for any prime number p>=5.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-06-21T08:32:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "homotopy equivalent",
      "partition lattice",
      "conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1202.4368D"
    }
  }
}