{
  "id": "1310.0636",
  "version": "v1",
  "published": "2013-10-02T09:44:22.000Z",
  "updated": "2013-10-02T09:44:22.000Z",
  "title": "Combination of classifying spaces for proper actions",
  "authors": [
    "Alexandre Martin"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1306.6847",
  "categories": [
    "math.GR",
    "math.GT"
  ],
  "abstract": "Given a group action on a simplicial complex such that each simplex stabiliser admits a cocompact model of classifying space for proper actions, we give conditions implying the existence of a cocompact model of classifying space for proper actions for the whole group. This is used to generalise previous combination results for boundaries of groups and hyperbolic groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-10-02T09:44:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "proper actions",
      "classifying space",
      "cocompact model",
      "simplex stabiliser admits",
      "hyperbolic groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.0636M"
    }
  }
}