{
  "id": "1508.06441",
  "version": "v1",
  "published": "2015-08-26T10:49:48.000Z",
  "updated": "2015-08-26T10:49:48.000Z",
  "title": "Embeddings in the Fell and Wijsman topologies",
  "authors": [
    "Lubica Hola"
  ],
  "categories": [
    "math.GN"
  ],
  "abstract": "It is shown that if a $T_2$ topological space $X$ contains a closed uncountable discrete subspace, then the spaces $(\\omega_1 + 1)^{\\omega}$ and $(\\omega_1 + 1)^{\\omega_1}$ embed into $(CL(X),\\tau_F)$, the hyperspace of nonempty closed subsets of $X$ equipped with the Fell topology. If $(X,d)$ is a non-separable perfect topological space, then $(\\omega_1 + 1)^{\\omega}$ and $(\\omega_1 + 1)^{\\omega_1}$ embed into $(CL(X),\\tau_{w(d)})$, the hyperspace of nonempty closed subsets of $X$ equipped with the Wijsman topology, giving a partial answer to the Question 3.4 in [CJ].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-08-26T10:49:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54B20",
      "54B05"
    ],
    "keywords": [
      "wijsman topology",
      "nonempty closed subsets",
      "embeddings",
      "fell topology",
      "closed uncountable discrete subspace"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150806441H"
    }
  }
}