{
  "id": "1904.09663",
  "version": "v1",
  "published": "2019-04-21T21:33:58.000Z",
  "updated": "2019-04-21T21:33:58.000Z",
  "title": "Fehrele's principle in nonstandard topology",
  "authors": [
    "Takuma Imamura"
  ],
  "categories": [
    "math.GN"
  ],
  "abstract": "In nonstandard analysis, Fehrele's principle is a beautiful criterion for a set to be internal, stating that every galactic halic set is internal. In this note, we use this principle to prove some well-known results in topology. Slight generalisations of Moore-Osgood theorem and Dini's theorem are also proved.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-04-21T21:33:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54J05"
    ],
    "keywords": [
      "fehreles principle",
      "nonstandard topology",
      "galactic halic set",
      "dinis theorem",
      "nonstandard analysis"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}