{
  "id": "2108.06020",
  "version": "v1",
  "published": "2021-08-13T01:42:03.000Z",
  "updated": "2021-08-13T01:42:03.000Z",
  "title": "The hyperspace of noncut subcontinua of some dendrites",
  "authors": [
    "Rodrigo Hernández-Gutiérrez",
    "Jorge E. Vega"
  ],
  "categories": [
    "math.GN"
  ],
  "abstract": "The Vietoris hyperspace $NC^{*}(X)$ of noncut subcontinua of a metric continuum $X$ has been previously studied by several authors. In this paper we prove that if $X$ is a dendrite and the set of endpoints of $X$ is dense, then $NC^{*}(X)$ is homeomorphic to the Baire space of irrational numbers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-08-13T01:42:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54F50",
      "54B20",
      "54E50",
      "54F15",
      "54F65"
    ],
    "keywords": [
      "noncut subcontinua",
      "vietoris hyperspace",
      "metric continuum",
      "baire space",
      "irrational numbers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}