{
  "id": "2405.09294",
  "version": "v1",
  "published": "2024-05-15T12:36:10.000Z",
  "updated": "2024-05-15T12:36:10.000Z",
  "title": "Strong Forms of Weakly e-continuous Functions",
  "authors": [
    "B. S. Ayhan"
  ],
  "categories": [
    "math.GN"
  ],
  "abstract": "The main purpose of this study is to introduce and study two new classes of continuity called eR-continuous functions and weakly eR-continuous functions via e-regular sets. Both of the forms of continuous functions we have described are stronger than the weakly e-continuity. Furthermore, we obtain various characterizations of weakly eR-continuous functions. In addition, we examine not only the relations of these functions with some other forms of existing continuous functions, but also some of their fundamental properties.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-05-15T12:36:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54C08",
      "54D05",
      "54D10",
      "54D30"
    ],
    "keywords": [
      "weakly e-continuous functions",
      "strong forms",
      "weakly er-continuous functions",
      "fundamental properties",
      "e-regular sets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}