{
  "id": "1302.3205",
  "version": "v1",
  "published": "2013-02-13T20:13:41.000Z",
  "updated": "2013-02-13T20:13:41.000Z",
  "title": "Nonstandard Topology without Logic, Ultrafilters as infinitesimal points in topological space",
  "authors": [
    "M. Akbari Tootkaboni"
  ],
  "categories": [
    "math.GN"
  ],
  "abstract": "Nonstandard analysis is very complex, so finding a simple description of infinitesimal points will be useful. In this paper, ultrafilters as infinitesimal points in a topological space will be proposed, and some topological concepts is restated by this tools.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-02-13T20:13:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54D80",
      "54D35",
      "03H05",
      "03C20"
    ],
    "keywords": [
      "infinitesimal points",
      "topological space",
      "nonstandard topology",
      "ultrafilters",
      "nonstandard analysis"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1302.3205A"
    }
  }
}