{
  "id": "math/0702607",
  "version": "v2",
  "published": "2007-02-21T09:33:31.000Z",
  "updated": "2007-10-14T16:22:58.000Z",
  "title": "A connection between cellularization for groups and spaces via two-complexes",
  "authors": [
    "Jose L. Rodriguez",
    "Jerome Scherer"
  ],
  "comment": "16 pages; some little corrections and improvements have been made. To appear in J. Pure and Applied Algebra",
  "journal": "Journal of Pure and Applied Algebra, Vol 212 (2008), 1664-1673.",
  "doi": "10.1016/j.jpaa.2007.11.002",
  "categories": [
    "math.AT",
    "math.GR"
  ],
  "abstract": "Let $M$ denote a two-dimensional Moore space (so $H_2(M; \\Z) = 0$), with fundamental group $G$. The $M$-cellular spaces are those one can build from $M$ by using wedges, push-outs, and telescopes (and hence all pointed homotopy colimits). The question we address here is to characterize the class of $M$-cellular spaces by means of algebraic properties derived from the group $G$. We show that the cellular type of the fundamental group and homological information does not suffice, and one is forced to study a certain universal extension.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-10-14T16:22:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55P60",
      "20K45",
      "55P20"
    ],
    "keywords": [
      "connection",
      "two-complexes",
      "fundamental group",
      "cellular spaces",
      "cellularization"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......2607R"
    }
  }
}