{
  "id": "1904.11444",
  "version": "v1",
  "published": "2019-04-25T16:39:25.000Z",
  "updated": "2019-04-25T16:39:25.000Z",
  "title": "Topological completely positive entropy is no simpler in $\\mathbb Z^2$-SFTs",
  "authors": [
    "Linda Brown Westrick"
  ],
  "comment": "40 pages, comments welcome",
  "categories": [
    "math.DS",
    "math.LO"
  ],
  "abstract": "We construct Z^2-SFTs at every computable level of the hierarchy of topological completely positive entropy (TCPE), answering Barbieri and Garc\\'{i}a-Ramos, who asked if there was one at level 3. Furthermore, we show the property of TCPE in Z^2-SFTs is coanalytic complete. Thus there is no simpler description of TCPE in Z^2-SFTs than in the general case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-04-25T16:39:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B50",
      "03E15",
      "03D55"
    ],
    "keywords": [
      "positive entropy",
      "topological",
      "general case",
      "coanalytic complete",
      "simpler description"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 40,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}