{
  "id": "1608.03381",
  "version": "v1",
  "published": "2016-08-11T06:33:50.000Z",
  "updated": "2016-08-11T06:33:50.000Z",
  "title": "I-convergence classes of sequences and nets in topological spaces",
  "authors": [
    "Amar Kumar Banerjee",
    "Apurba Banerjee"
  ],
  "comment": "9 pages",
  "categories": [
    "math.GN"
  ],
  "abstract": "In this paper we have used the idea of I-convergence of sequences and nets to study certain conditions of convergence in a topological space. It has been shown separately that a class of sequences and a class of nets in a non-empty set X which are respectively called I-convergence class of sequences and I-convergence class of nets satisfying these conditions generate a topology on X. Further we have correlated the classes of I-convergent sequences and nets with respect to these topologies with the given classes which satisfy these conditions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-08-11T06:33:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54A20",
      "40A35"
    ],
    "keywords": [
      "i-convergence class",
      "topological space",
      "conditions generate",
      "i-convergent sequences",
      "non-empty set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}