{
  "id": "math/0510378",
  "version": "v1",
  "published": "2005-10-18T13:01:00.000Z",
  "updated": "2005-10-18T13:01:00.000Z",
  "title": "Nullification functors and the homotopy type of the classifying space for proper bundles",
  "authors": [
    "Ramon J. Flores"
  ],
  "comment": "Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-46.abs.html",
  "journal": "Algebr. Geom. Topol. 5 (2005) 1141-1172",
  "categories": [
    "math.AT"
  ],
  "abstract": "Let G be a discrete group for which the classifying space for proper G-actions is finite-dimensional. We find a space W such that for any such G, the classifying space PBG for proper G-bundles has the homotopy type of the W-nullification of BG. We use this to deduce some results concerning PBG and in some cases where there is a good model for PBG we obtain information about the BZ/p-nullification of BG.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-10-18T13:01:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55P20",
      "55P80"
    ],
    "keywords": [
      "homotopy type",
      "proper bundles",
      "nullification functors",
      "proper g-actions",
      "discrete group"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}