{
  "id": "math/0204131",
  "version": "v1",
  "published": "2002-04-10T17:40:24.000Z",
  "updated": "2002-04-10T17:40:24.000Z",
  "title": "Compactification of a map which is mapped to itself",
  "authors": [
    "A. Iwanik",
    "L. Janos",
    "F. A. Smith"
  ],
  "comment": "5 pages",
  "journal": "Proceedings of the Ninth Prague Topological Symposium, (Prague, 2001), pp. 165--169, Topology Atlas, Toronto, 2002",
  "categories": [
    "math.GN"
  ],
  "abstract": "We prove that if $T: X \\to X$ is a selfmap of a set $X$ such that $\\bigcap \\{T^{n}X: n\\in N}\\}$ is a one-point set, then the set $X$ can be endowed with a compact Hausdorff topology so that $T$ is continuous.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-04-10T17:40:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54H20",
      "54H25"
    ],
    "keywords": [
      "compactification",
      "compact hausdorff topology",
      "one-point set"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......4131I"
    }
  }
}