{
  "id": "1207.1586",
  "version": "v1",
  "published": "2012-07-06T11:14:19.000Z",
  "updated": "2012-07-06T11:14:19.000Z",
  "title": "Topologies of (strong) uniform convergence on bornologies",
  "authors": [
    "Lubica Holá",
    "Branislav Novotný"
  ],
  "categories": [
    "math.GN"
  ],
  "abstract": "We continue the study of topologies of strong uniform convergence on bornologies initiated in [G. Beer and S. Levi, Strong uniform continuity, J. Math Anal. Appl., 350:568-589, 2009] and [G. Beer and S. Levi, Uniform continuity, uniform convergence and shields, Set-Valued and Variational Analysis, 18:251-275, 2010]. We study cardinal invariants of topologies of (strong) uniform convergence on bornologies on the space of continuous real-valued functions and we also generalize some known results from the literature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-07-06T11:14:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "topologies",
      "bornologies",
      "study cardinal invariants",
      "strong uniform continuity",
      "strong uniform convergence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1207.1586H"
    }
  }
}