{
  "id": "1712.03050",
  "version": "v1",
  "published": "2017-12-08T13:20:55.000Z",
  "updated": "2017-12-08T13:20:55.000Z",
  "title": "Mean dimension of full shifts",
  "authors": [
    "Masaki Tsukamoto"
  ],
  "comment": "9 pages",
  "categories": [
    "math.DS",
    "math.GN"
  ],
  "abstract": "Let $K$ be a finite dimensional compact metric space and $K^\\mathbb{Z}$ the full shift on the alphabet $K$. We prove that its mean dimension is given by $\\dim K$ or $\\dim K-1$ depending on the \"type\" of $K$. We propose a problem which seems interesting from the view point of infinite dimensional topology.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-08T13:20:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B99",
      "54F45"
    ],
    "keywords": [
      "full shift",
      "mean dimension",
      "finite dimensional compact metric space",
      "infinite dimensional topology",
      "view point"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}