{
  "id": "2305.19647",
  "version": "v1",
  "published": "2023-05-31T08:23:44.000Z",
  "updated": "2023-05-31T08:23:44.000Z",
  "title": "Some properties of I*-sequential topological space",
  "authors": [
    "H. Sabor Behmanush",
    "M. Kucukaslan"
  ],
  "comment": "14 pages",
  "categories": [
    "math.GN"
  ],
  "abstract": "In this paper, we will define $\\mathcal{I}^{*}$-sequential topology on a topological space $(X,\\tau)$ where $\\mathcal{I}$ is an ideal of the subset of natural numbers $\\mathbb{N}$. Besides the basic properties of the $\\mathcal{I}^{*}$-sequential topology, we proved that $\\mathcal{I}^{*}$-sequential topology is finer than $\\mathcal{I}$-sequential topology. Further, we will discus main properties of $\\mathcal{I}^{*}$ sequential continuity and $\\mathcal{I}^{*}$ sequential compactness.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-05-31T08:23:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "topological space",
      "sequential topology",
      "discus main properties",
      "basic properties",
      "natural numbers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}