{
  "id": "1707.08021",
  "version": "v1",
  "published": "2017-07-25T14:52:40.000Z",
  "updated": "2017-07-25T14:52:40.000Z",
  "title": "Cellular covers of local groups",
  "authors": [
    "Ramon Flores",
    "Jerome Scherer"
  ],
  "comment": "12 pages",
  "categories": [
    "math.AT",
    "math.GR"
  ],
  "abstract": "We prove that, in the category of groups, the composition of a cellularization and a localization functor need not be idempotent. This provides a negative answer to a question of Emmanuel Dror Farjoun.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-07-25T14:52:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F99",
      "55P60",
      "20E22",
      "20F50",
      "55R35"
    ],
    "keywords": [
      "local groups",
      "cellular covers",
      "emmanuel dror farjoun",
      "localization functor",
      "idempotent"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}