{
  "id": "0902.0718",
  "version": "v1",
  "published": "2009-02-04T12:41:16.000Z",
  "updated": "2009-02-04T12:41:16.000Z",
  "title": "On the classifying space of the family of finite and of virtually cyclic subgroups for CAT(0)-groups",
  "authors": [
    "Wolfgang Lueck"
  ],
  "comment": "14 pages",
  "categories": [
    "math.AT"
  ],
  "abstract": "Let G be a discrete group which acts properly and isometrically on a complete CAT(0)-space X. Consider an integer d with d=1 or d greater or equal to 3 such that the topological dimension of X is bounded by d. We show the existence of a G-CW-model E_fin(G) for the classifying space for proper G-actions with dim(E_fin(G)) less or equal to d. Provided that the action is also cocompact, we prove the existence of a G-CW-model E_vcyc(G) for the classifying space of the family of virtually cyclic subgroups such that dim(E_vcyc(G)) is less or equal to d+1.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-02-04T12:41:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55R35"
    ],
    "keywords": [
      "virtually cyclic subgroups",
      "classifying space",
      "discrete group",
      "complete cat",
      "g-cw-model"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0902.0718L"
    }
  }
}