{
  "id": "2304.08462",
  "version": "v1",
  "published": "2023-04-17T17:38:34.000Z",
  "updated": "2023-04-17T17:38:34.000Z",
  "title": "A Formula for Derived Sets in General Topology",
  "authors": [
    "Eugene Zhang"
  ],
  "comment": "Submitted to Topology & its Applications in April 2023; 11 pages",
  "categories": [
    "math.GN"
  ],
  "abstract": "In this paper, we present a general formula for derived sets in general topology. Consequently, more results can be proved in general topology involving derived sets and isolated point sets. More specifically, we can prove that isolated point sets are nowhere dense in general topological space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-04-17T17:38:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54A05",
      "54A99"
    ],
    "keywords": [
      "general topology",
      "derived sets",
      "isolated point sets",
      "general formula"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}