{
  "id": "1412.4249",
  "version": "v1",
  "published": "2014-12-13T16:12:24.000Z",
  "updated": "2014-12-13T16:12:24.000Z",
  "title": "A note on hyperspaces and the compact-open topology",
  "authors": [
    "Federico Cantero"
  ],
  "comment": "3 pages. Any reference for this result will be welcome",
  "categories": [
    "math.GN"
  ],
  "abstract": "We prove that the inclusion of map(X,Y) into map(K(X),K(Y)) is continuous, where K(X) is the space of non-empty compact subsets of X (also known as the hyperspace of compact subsets of X), and both spaces of maps are endowed with the compact-open topology.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-13T16:12:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54B20",
      "54C35"
    ],
    "keywords": [
      "compact-open topology",
      "hyperspace",
      "non-empty compact subsets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 3,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1412.4249C"
    }
  }
}