{
  "id": "1409.6463",
  "version": "v1",
  "published": "2014-09-23T09:52:35.000Z",
  "updated": "2014-09-23T09:52:35.000Z",
  "title": "A notion of weak convergence in metric spaces",
  "authors": [
    "Giuseppe Devillanova",
    "Sergio Solimini",
    "Cyril Tintarev"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We discuss some basic properties of polar convergence in metric spaces. Polar convergence is closely connected with the notion of Delta-convergence of T.C. Lim known for several years. Possible existence of a topology which induces polar convergence is also investigated. Some applications of polar convergence follow.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-23T09:52:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46B10",
      "46B50",
      "46N20"
    ],
    "keywords": [
      "metric spaces",
      "weak convergence",
      "induces polar convergence",
      "basic properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.6463D"
    }
  }
}