{
  "id": "1611.09493",
  "version": "v1",
  "published": "2016-11-29T05:28:43.000Z",
  "updated": "2016-11-29T05:28:43.000Z",
  "title": "Topological Entropy, Entropy points and shadowing",
  "authors": [
    "Seyyed Alireza Ahmadi"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "In this note we study some properties of topological entropy for non-compact non-metrizable spaces. We prove that if a uniformly continuous self-map $f$ of a uniform space has topological shadowing property then the map $f$ has positive uniform entropy, which extends the similar known result for homeomorphisms on compact metric spaces having shadowing property.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-11-29T05:28:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "topological entropy",
      "entropy points",
      "compact metric spaces",
      "uniform space",
      "non-compact non-metrizable spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}