{
  "id": "2505.09951",
  "version": "v1",
  "published": "2025-05-15T04:10:50.000Z",
  "updated": "2025-05-15T04:10:50.000Z",
  "title": "SC*-Regular spaces and some functions",
  "authors": [
    "Neeraj Kumar Tomar",
    "Amit Ujlayan",
    "M. C. Sharma"
  ],
  "categories": [
    "math.GN"
  ],
  "abstract": "This paper introduces a novel class of topological spaces, termed SC*-regular spaces, which are defined using SC*-open sets. We explore their fundamental properties and examine their connections with existing regularity concepts, such as regular, almost, softly, weakly, alpha, zeta, and generalized-regular spaces respectively. Furthermore, we examined and define, analyze generalized SC*-closed sets and SC*-generalized closed functions, establishing key properties and preservation theorems. Several characterizations of SC*-regular spaces are also presented, providing new insights into generalized regularity in topology.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2025-05-15T04:10:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54A05",
      "54C08",
      "54C10",
      "54D15"
    ],
    "keywords": [
      "fundamental properties",
      "novel class",
      "preservation theorems",
      "generalized-regular spaces",
      "existing regularity concepts"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}