{
  "id": "1403.6905",
  "version": "v1",
  "published": "2014-03-27T02:36:27.000Z",
  "updated": "2014-03-27T02:36:27.000Z",
  "title": "Bornoligies, Topological Games and Function Spaces",
  "authors": [
    "Jiling Cao",
    "Artur H. Tomita"
  ],
  "comment": "15 pages",
  "categories": [
    "math.GN"
  ],
  "abstract": "In this paper, we continue the study of function spaces equipped with topologies of (strong) uniform convergence on bornologies initiated by Beer and Levi \\cite{beer-levi:09}. In particular, we investigate some topological properties these function spaces defined by topological games. In addition, we also give further characterizations of metrizability and completeness properties of these function spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-03-27T02:36:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54C35",
      "46A17",
      "54E50",
      "54E52"
    ],
    "keywords": [
      "topological games",
      "bornoligies",
      "uniform convergence",
      "completeness properties",
      "function spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1287809,
      "adsabs": "2014arXiv1403.6905C"
    }
  }
}