{
  "id": "2312.07585",
  "version": "v1",
  "published": "2023-12-11T02:17:27.000Z",
  "updated": "2023-12-11T02:17:27.000Z",
  "title": "An embedding theorem for mean dimension",
  "authors": [
    "Michael Levin"
  ],
  "comment": "arXiv admin note: substantial text overlap with arXiv:2312.04689, arXiv:2312.06064",
  "categories": [
    "math.DS"
  ],
  "abstract": "Let (X,Z) be a minimal dynamical system on a compact metric X and k an integer such that mdim X< k. We show that (X,Z) admits an equivariant embedding in the shift (D^k)^Z where D is a superdendrite.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-12-11T02:17:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B05",
      "54F45"
    ],
    "keywords": [
      "mean dimension",
      "embedding theorem",
      "minimal dynamical system",
      "compact metric"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}