{
  "id": "math/0601724",
  "version": "v1",
  "published": "2006-01-30T07:13:28.000Z",
  "updated": "2006-01-30T07:13:28.000Z",
  "title": "Nonstandard Analysis in Topology: Nonstandard and Standard Compactifications",
  "authors": [
    "Sergio Salbany",
    "Todor Todorov"
  ],
  "comment": "5 pages",
  "journal": "Journal of Symbolic Logic, Vol. 65, Number 4, Dec. 2000",
  "categories": [
    "math.GN",
    "math.LO"
  ],
  "abstract": "\\begin{abstrac} Let $(X,T) $ be a topological space, and $^{*}X$ a non--standard extension of $X$. There is a natural ``standard'' topology $^{S}T$ on $^{*}X$ generated by $^{*}G$, where $G\\in T$. The topological space $(^{*}X,^{S}T) $ will be used to study compactifications of $(X,T)$ in a systematic way.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-01-30T07:13:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03C90",
      "03H05",
      "54J05",
      "54D35",
      "54D60"
    ],
    "keywords": [
      "standard compactifications",
      "nonstandard analysis",
      "topological space",
      "non-standard extension"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......1724S"
    }
  }
}