{
  "id": "math/0301328",
  "version": "v1",
  "published": "2003-01-28T12:56:39.000Z",
  "updated": "2003-01-28T12:56:39.000Z",
  "title": "Homology equivalences inducing an epimorphism on the fundamental group and Quillen's plus construction",
  "authors": [
    "Jose L. Rodriguez",
    "Dirk Scevenels"
  ],
  "comment": "12 pages. To appear in Proceedings of the AMS",
  "journal": "Proc. AMS. 132, No.3, 891--898 (2004).",
  "categories": [
    "math.AT",
    "math.GR"
  ],
  "abstract": "Quillen's plus construction is a topological construction that kills the maximal perfect subgroup of the fundamental group of a space without changing the integral homology of the space. In this paper we show that there is a topological construction that, while leaving the integral homology of a space unaltered, kills even the intersection of the transfinite lower central series of its fundamental group. Moreover, we show that this is the maximal subgroup that can be factored out of the fundamental group without changing the integral homology of a space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-01-28T12:56:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55P60",
      "55N15",
      "18A20",
      "18A40"
    ],
    "keywords": [
      "quillens plus construction",
      "fundamental group",
      "homology equivalences inducing",
      "integral homology",
      "epimorphism"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "Proc. Amer. Math. Soc."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......1328R"
    }
  }
}