{
  "id": "1510.07615",
  "version": "v1",
  "published": "2015-10-26T19:57:18.000Z",
  "updated": "2015-10-26T19:57:18.000Z",
  "title": "Continuum-wise expansiveness and specification for set-valued functions and topological entropy",
  "authors": [
    "Welington Cordeiro",
    "Maria José Pacífico"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We define the concept of continuum wise expansive for set-valued functions and prove that if a compact metric space admit a set-valued $cw$-expansive function then the topological entropy of $X$ is positive.} We also introduce the notion of pointwise specification property for set-valued functions and prove that set-valued functions with this property has positive entropy.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-26T19:57:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A35",
      "37B40",
      "37D45",
      "54C60"
    ],
    "keywords": [
      "set-valued functions",
      "topological entropy",
      "continuum-wise expansiveness",
      "compact metric space admit",
      "pointwise specification property"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151007615C"
    }
  }
}