{
  "id": "2505.06562",
  "version": "v1",
  "published": "2025-05-10T08:25:01.000Z",
  "updated": "2025-05-10T08:25:01.000Z",
  "title": "SC*-Normal spaces and some functions",
  "authors": [
    "Neeraj Kumar Tomar",
    "Fahed Zulfeqarr",
    "M. C. Sharma"
  ],
  "categories": [
    "math.GN"
  ],
  "abstract": "In this paper, we introduce and explore a new class of topological spaces termed as SC*-normal spaces, defined via SC*-open sets. The concept of SC*-normality is analyzed in relation to classical notions such as normal spaces and g-normal spaces. We further define and examine generalized forms of SC*-closed functions, including SC*-generalized closed mappings, and investigate their fundamental properties. Several characterizations of SC*-normal spaces are established, and various preservation theorems under different types of functions are also presented.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2025-05-10T08:25:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54A05",
      "54C08",
      "54C10",
      "54D15"
    ],
    "keywords": [
      "preservation theorems",
      "fundamental properties",
      "g-normal spaces",
      "classical notions",
      "topological spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}