{
  "id": "math/0603538",
  "version": "v1",
  "published": "2006-03-22T16:33:54.000Z",
  "updated": "2006-03-22T16:33:54.000Z",
  "title": "Generically there is but one self homeomorphism of the Cantor set",
  "authors": [
    "Ethan Akin",
    "Eli Glasner",
    "Benjamin Weiss"
  ],
  "categories": [
    "math.DS",
    "math.GR"
  ],
  "abstract": "We describe a self-homeomorphism $R$ of the Cantor set $X$ and then show that its conjugacy class in the Polish group $H(X)$ of all homeomorphisms of $X$ forms a dense $G_\\delta$ subset of $H(X)$. We also provide an example of a locally compact, second countable topological group which has a dense conjugacy class.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-03-22T16:33:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22A05"
    ],
    "keywords": [
      "cantor set",
      "self homeomorphism",
      "dense conjugacy class",
      "second countable topological group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......3538A"
    }
  }
}