{
  "id": "2012.12484",
  "version": "v1",
  "published": "2020-12-23T04:42:58.000Z",
  "updated": "2020-12-23T04:42:58.000Z",
  "title": "Further aspects of $\\mathcal{I}^{\\mathcal{K}}$-convergence in Topological Spaces",
  "authors": [
    "Ankur Sharmah",
    "Debajit Hazarika"
  ],
  "comment": "8 page",
  "categories": [
    "math.GN"
  ],
  "abstract": "In this paper, we obtain some interesting results on $\\mathcal{I}^\\mathcal{K}$-convergence as well as on the relationships between different convergence modes namely $\\mathcal{I}$, $\\mathcal{K}$, $\\mathcal{I}^\\mathcal{K}$, $\\mathcal{I}^{\\mathcal{K}^*}$, $\\mathcal{I} \\cup \\mathcal{K}$ and $(\\mathcal{I} \\cup \\mathcal{K})^*$. We also introduce a topological space namely $\\mathcal{I}^\\mathcal{K}$-sequential space and investigate some of its properties. $\\mathcal{I}^\\mathcal{K}$-notions of ideal cluster points and ideal limit points of a function are also introduced and characterized.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-12-23T04:42:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54A20",
      "40A05",
      "40A35"
    ],
    "keywords": [
      "topological space",
      "ideal cluster points",
      "ideal limit points",
      "convergence modes",
      "sequential space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}