{
  "id": "1603.03940",
  "version": "v1",
  "published": "2016-03-12T17:06:19.000Z",
  "updated": "2016-03-12T17:06:19.000Z",
  "title": "A Bratteli--Vershik representation for all zero-dimensional systems",
  "authors": [
    "Takashi Shimomura"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We show that every zero-dimensional system can have Bratteli--Vershik representation. As a corollary, we get an analogue of the Krieger's Lemma for zero-dimensional systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-03-12T17:06:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "zero-dimensional system",
      "bratteli-vershik representation",
      "kriegers lemma"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160303940S"
    }
  }
}