{
  "id": "2412.12554",
  "version": "v1",
  "published": "2024-12-17T05:28:39.000Z",
  "updated": "2024-12-17T05:28:39.000Z",
  "title": "Towards a Unified Framework for Bioperations on $e^\\star$-Open Sets in Topological Spaces",
  "authors": [
    "G. Saravanakumar",
    "M. Arun"
  ],
  "categories": [
    "math.GN"
  ],
  "abstract": "In this paper, we introduce the concept of $e^\\star_{[\\gamma,\\gamma']}$-open sets in topological spaces and examine their properties in detail. Additionally, we propose a new class of functions, termed $(e^\\star_{[\\gamma,\\gamma']},\\ e^\\star_{[\\beta,\\beta']})$-continuous functions, and explore their fundamental characteristics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-12-17T05:28:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "open sets",
      "topological spaces",
      "unified framework",
      "bioperations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}