{
  "id": "0806.0991",
  "version": "v1",
  "published": "2008-06-05T15:42:09.000Z",
  "updated": "2008-06-05T15:42:09.000Z",
  "title": "Trivial centralizers for codimension-one attractors",
  "authors": [
    "Todd Fisher"
  ],
  "comment": "9 pages",
  "doi": "10.1112/blms/bdn100",
  "categories": [
    "math.DS"
  ],
  "abstract": "We show that if $\\Lambda$ is a codimension-one hyperbolic attractor for a $C^r$ diffeomorphism $f$, where $2\\leq r\\leq \\infty$, and $f$ is not Anosov, then there is a neighborhood $\\mathcal{U}$ of $f$ in $\\mathrm{Diff}^r(M)$ and an open and dense set $\\mathcal{V}$ of $\\mathcal{U}$ such that any $g\\in\\mathcal{V}$ has a trivial centralizer on the basin of attraction for $\\Lambda$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-06-05T15:42:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37C05",
      "37C20",
      "37C29",
      "37D05",
      "37D20"
    ],
    "keywords": [
      "trivial centralizer",
      "codimension-one attractors",
      "codimension-one hyperbolic attractor",
      "dense set"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0806.0991F"
    }
  }
}