{
  "id": "1801.04575",
  "version": "v1",
  "published": "2018-01-14T15:46:52.000Z",
  "updated": "2018-01-14T15:46:52.000Z",
  "title": "Completeness in Probabilistic Metric Spaces",
  "authors": [
    "Delavar Varasteh Tafti",
    "Mahdi Azhini"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper, we present the Cantor Intersection Theorem and a formulation of Baire Theorem in complete PM spaces. In addition, the Heine-Borel property for PM spaces is considered in detail.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-01-14T15:46:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "probabilistic metric spaces",
      "completeness",
      "cantor intersection theorem",
      "complete pm spaces",
      "heine-borel property"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}