{
  "id": "1202.2066",
  "version": "v1",
  "published": "2012-02-09T17:57:23.000Z",
  "updated": "2012-02-09T17:57:23.000Z",
  "title": "Centralizers of rank-1 homeomorphisms",
  "authors": [
    "Aaron Hill"
  ],
  "categories": [
    "math.DS",
    "math.LO"
  ],
  "abstract": "We give a definition for a rank-1 homeomorphism of a zero-dimensional Polish space X. We show that if a rank-1 homeomorphism of X satisfies a certain non-degeneracy condition, then it has trivial centralizer in the group of all homeomorphisms of X, i.e., it commutes only with its integral powers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-02-09T17:57:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "homeomorphism",
      "zero-dimensional polish space",
      "non-degeneracy condition",
      "trivial centralizer"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1202.2066H"
    }
  }
}