{
  "id": "2211.04680",
  "version": "v1",
  "published": "2022-11-09T04:43:46.000Z",
  "updated": "2022-11-09T04:43:46.000Z",
  "title": "$*-$open sets and $*-$ continuity in topological spaces",
  "authors": [
    "Aliakbar Alijani"
  ],
  "categories": [
    "math.GN"
  ],
  "abstract": "In this paper, we study some properties of $*-$open and $*-$closed subsets of a space. The collection of all $*-$open subsets of a space $X$ form a topology on $X$ which is denoted by $^{*}O(X)$. We investigate the relations between topological properties of $X$ with the topology $^{*}O(X)$ and $X$. Also, we introduce the concept of a $*-$continuous map.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-11-09T04:43:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54A10",
      "54C10"
    ],
    "keywords": [
      "open sets",
      "topological spaces",
      "continuity",
      "open subsets",
      "closed subsets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}