{
  "id": "1806.09434",
  "version": "v1",
  "published": "2018-06-25T13:11:07.000Z",
  "updated": "2018-06-25T13:11:07.000Z",
  "title": "Hyperconvergence in topological dynamics",
  "authors": [
    "Josiney A. Souza",
    "Richard W. M. Alves"
  ],
  "comment": "26 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "In this manuscript the concept of hyperspace is revisited. The main purpose is to study hyperconvergence and continuity of orbital and limit set functions for semigroup action on completely regular space. Some general facts on Hausdorff and Kuratowski hyperconvergence are presented.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-06-25T13:11:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54E15",
      "54D20"
    ],
    "keywords": [
      "topological dynamics",
      "limit set functions",
      "kuratowski hyperconvergence",
      "general facts",
      "regular space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}