{
  "id": "1201.1568",
  "version": "v1",
  "published": "2012-01-07T15:18:47.000Z",
  "updated": "2012-01-07T15:18:47.000Z",
  "title": "The C-compact-open topology on function spaces",
  "authors": [
    "Alexander V. Osipov"
  ],
  "categories": [
    "math.GN",
    "math.FA"
  ],
  "abstract": "This paper studies the C-compact-open topology on the set C(X) of all realvalued continuous functions on a Tychonov space X and compares this topology with several well-known and lesser known topologies. We investigate the properties C-compact-open topology on the set C(X) such as submetrizable, metrizable, separable and second countability.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-01-07T15:18:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54C40",
      "54C35",
      "54D60",
      "54H11",
      "46E10"
    ],
    "keywords": [
      "function spaces",
      "properties c-compact-open topology",
      "paper studies",
      "tychonov space",
      "second countability"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}