{
  "id": "2011.05465",
  "version": "v1",
  "published": "2020-11-10T23:55:26.000Z",
  "updated": "2020-11-10T23:55:26.000Z",
  "title": "The Vietoris hyperspace of finite sets of Erdős space",
  "authors": [
    "Alfredo Zaragoza"
  ],
  "categories": [
    "math.GN"
  ],
  "abstract": "Recently, David S. Lipham has shown that if $X$ is an Erd\\H{o}s space factor then the Vietoris hyperspace $\\mathcal{F}(X)$ of finite subsets of $X$ is an Erd\\H{o}s space factor. In this short note we prove that if $\\mathfrak{E}$ denotes Erd\\H{o}s space then $\\mathcal{F}(\\mathfrak{E})$ is in fact homeomorphic to $\\mathfrak{E}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-11-10T23:55:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54B20",
      "54A10",
      "54F50",
      "54F65"
    ],
    "keywords": [
      "vietoris hyperspace",
      "finite sets",
      "erdős space",
      "space factor",
      "short note"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}