{
  "id": "2205.03378",
  "version": "v1",
  "published": "2022-05-06T17:24:20.000Z",
  "updated": "2022-05-06T17:24:20.000Z",
  "title": "On density topology using ideals in the space of reals",
  "authors": [
    "Amar Kumar Banerjee",
    "Indrajit Debnath"
  ],
  "comment": "24 pages",
  "categories": [
    "math.GN"
  ],
  "abstract": "In this paper we have introduced the notion of $\\mathcal{I}$-density topology in the space of reals introducing the notions of upper $\\mathcal{I}$-density and lower $\\mathcal{I}$-density where $\\mathcal{I}$ is an ideal of subsets of the set of natural numbers. We have further studied certain separation axioms of this topology.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-05-06T17:24:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26E99",
      "54C30",
      "40A35"
    ],
    "keywords": [
      "density topology",
      "natural numbers",
      "separation axioms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}