{
  "id": "1510.05554",
  "version": "v1",
  "published": "2015-10-19T16:03:51.000Z",
  "updated": "2015-10-19T16:03:51.000Z",
  "title": "Topological models of finite type for tree almost automorphism groups",
  "authors": [
    "Roman Sauer",
    "Werner Thumann"
  ],
  "comment": "18 pages",
  "categories": [
    "math.GR",
    "math.GT"
  ],
  "abstract": "We show that tree almost automorphism groups, including Neretin groups, satisfy the analogue of the $F_\\infty$-finiteness condition in the world of totally disconnected groups: They possess a cellular action on a contractible cellular complex such that the stabilizers are open and compact and the restriction of the action on each $n$-skeleton is cocompact.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-19T16:03:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55R35",
      "20E08",
      "22D05"
    ],
    "keywords": [
      "automorphism groups",
      "finite type",
      "topological models",
      "neretin groups",
      "finiteness condition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151005554S"
    }
  }
}