{
  "id": "2204.13000",
  "version": "v1",
  "published": "2022-04-27T15:15:28.000Z",
  "updated": "2022-04-27T15:15:28.000Z",
  "title": "Topological sequence entropy and topological dynamics of tree maps",
  "authors": [
    "Aymen Daghar",
    "Jose S. Canovas"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove that a zero topological entropy continuous tree map always displays zero topological sequence entropy when it is restricted to its non-wandering and chain recurrent sets. In addition, we show that a similar result is not possible when the phase space is a dendrite even when we consider only the restriction on the set of periodic points.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-04-27T15:15:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "topological dynamics",
      "displays zero topological sequence entropy",
      "topological entropy continuous tree map"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}