{
  "id": "2208.07854",
  "version": "v1",
  "published": "2022-08-16T17:22:04.000Z",
  "updated": "2022-08-16T17:22:04.000Z",
  "title": "Topological Speedups For Minimal Cantor Systems",
  "authors": [
    "Drew D. Ash",
    "Nicholas Ormes"
  ],
  "comment": "32 pages, to appear in Israel Journal of Mathematics. Corrected and expanded version of \"Topological Speedups'' by Ash",
  "categories": [
    "math.DS"
  ],
  "abstract": "In this paper we study speedups of dynamical systems in the topological category. Specifically, we characterize when one minimal homeomorphism on a Cantor space is the speedup of another. We go on to provide a characterization for strong speedups, i.e., when the jump function has at most one point of discontinuity. These results provide topological versions of the measure-theoretic results of Arnoux, Ornstein and Weiss, and are closely related to Giordano, Putnam and Skau's characterization of orbit equivalence for minimal Cantor systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-08-16T17:22:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "minimal cantor systems",
      "topological speedups",
      "skaus characterization",
      "study speedups",
      "measure-theoretic results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}