{
  "id": "math/0409399",
  "version": "v1",
  "published": "2004-09-21T14:45:30.000Z",
  "updated": "2004-09-21T14:45:30.000Z",
  "title": "Postnikov pieces and BZ/p-homotopy theory",
  "authors": [
    "Natalia Castellana",
    "Juan A. Crespo",
    "Jerome Scherer"
  ],
  "comment": "15 pages",
  "categories": [
    "math.AT",
    "math.GR"
  ],
  "abstract": "We present a constructive method to compute the cellularization with respect to K(Z/p, m) for any integer m > 0 of a large class of H-spaces, namely all those which have a finite number of non-trivial K(Z/p, m)-homotopy groups (the pointed mapping space map(K(Z/p, m), X) is a Postnikov piece). We prove in particular that the K(Z/p, m)-cellularization of an H-space having a finite number of K(Z/p, m)-homotopy groups is a p-torsion Postnikov piece. Along the way we characterize the BZ/p^r-cellular classifying spaces of nilpotent groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-09-21T14:45:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55R35",
      "55P60",
      "55P20",
      "20F18"
    ],
    "keywords": [
      "bz/p-homotopy theory",
      "finite number",
      "p-torsion postnikov piece",
      "nilpotent groups",
      "large class"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......9399C"
    }
  }
}