{
  "id": "2009.00943",
  "version": "v1",
  "published": "2020-09-02T10:52:42.000Z",
  "updated": "2020-09-02T10:52:42.000Z",
  "title": "Yet Another Generalization of The Notion of a Metric Space",
  "authors": [
    "Seyed Mohammad Amin Khatami",
    "Madjid Mirzavaziri"
  ],
  "categories": [
    "math.GN",
    "math.MG"
  ],
  "abstract": "A generalization of the triangle inequality is introduced by a mapping similar to a t-conorm mapping. This generalization leads us to a notion for which we use the $\\star$-metric terminology. We are interested in the topological space induced by a $\\star$-metric. Considering some examples of non-trivial $\\star$-metrizable topological spaces, we also study the product topology for a finite family of $\\star$-metrizable topological spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-09-02T10:52:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54E35"
    ],
    "keywords": [
      "metric space",
      "generalization",
      "metrizable topological spaces",
      "triangle inequality",
      "metric terminology"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}