{
  "id": "2008.04186",
  "version": "v1",
  "published": "2020-08-10T15:17:10.000Z",
  "updated": "2020-08-10T15:17:10.000Z",
  "title": "On Topological Rank of Factors of Cantor Minimal Systems",
  "authors": [
    "Nasser Golestani",
    "Maryam Hosseini"
  ],
  "comment": "20 pages",
  "categories": [
    "math.DS",
    "math.OA"
  ],
  "abstract": "A Cantor minimal system is of finite topological rank if it has a Bratteli-Vershik representation whose number of vertices per level is uniformly bounded. We prove that if the topological rank of a minimal dynamical system on a Cantor set is finite then all its minimal Cantor factors have finite topological rank as well. This gives an affirmative answer to a question posed by Donoso, Durand, Maass, and Petite.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-08-10T15:17:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54H20",
      "37B05",
      "37B10"
    ],
    "keywords": [
      "cantor minimal system",
      "finite topological rank",
      "minimal cantor factors",
      "bratteli-vershik representation",
      "minimal dynamical system"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}