{
  "id": "2109.12837",
  "version": "v3",
  "published": "2021-09-27T07:12:57.000Z",
  "updated": "2022-05-15T10:25:17.000Z",
  "title": "Some remarks on proper actions, proper metric spaces, and buildings",
  "authors": [
    "Linus Kramer"
  ],
  "comment": "v3: Substantially expanded and revised. To appear in Adv. in Geometry",
  "categories": [
    "math.GR",
    "math.GN",
    "math.MG"
  ],
  "abstract": "We discuss various aspects of isometric group actions on proper metric spaces. As one application, we show that a proper and Weyl transitive action on a euclidean building is strongly transitive on the maximal atlas (the complete apartment system) of the building.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2022-05-15T10:25:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "proper metric spaces",
      "proper actions",
      "complete apartment system",
      "isometric group actions",
      "maximal atlas"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}