{
  "id": "1402.4282",
  "version": "v1",
  "published": "2014-02-18T10:40:02.000Z",
  "updated": "2014-02-18T10:40:02.000Z",
  "title": "An embedding in the Fell topology",
  "authors": [
    "Lubica Hola"
  ],
  "categories": [
    "math.GN"
  ],
  "abstract": "It is shown that if a $T_2$ topological space contains an uncountable closed discrete set, then $\\omega_1 \\times (\\omega_1 + 1)$ embeds as a closed subspace of $(CL(X),\\tau_F)$, the hyperspace of nonempty closed subsets of $X$ equipped with the Fell topology.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-02-18T10:40:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54B20"
    ],
    "keywords": [
      "fell topology",
      "topological space contains",
      "uncountable closed discrete set",
      "nonempty closed subsets",
      "closed subspace"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1402.4282H"
    }
  }
}