{
  "id": "2003.09587",
  "version": "v1",
  "published": "2020-03-21T06:15:41.000Z",
  "updated": "2020-03-21T06:15:41.000Z",
  "title": "Formulation of Convergence and Continuity in Variation of Sets in a Different Way from Sequences of Sets and Correspondence",
  "authors": [
    "Takefumi Fujimoto"
  ],
  "comment": "38 pages, 11 figures",
  "categories": [
    "math.FA"
  ],
  "abstract": "This paper treats the variation of sets. We attempt to formulate convergence and continuity of set-valued functions in a different way from the theories on sequences of sets and correspondence. In the final section, we also attempt to define differentiation of set-valued functions in a Euclidean space by bijection between two sets.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-21T06:15:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "continuity",
      "correspondence",
      "formulation",
      "set-valued functions",
      "paper treats"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 38,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}