{
  "id": "1408.1337",
  "version": "v1",
  "published": "2014-08-06T15:52:54.000Z",
  "updated": "2014-08-06T15:52:54.000Z",
  "title": "On the simplicity of homeomorphism groups of a tilable lamination",
  "authors": [
    "José Aliste-Prieto",
    "Samuel Petite"
  ],
  "comment": "14 p",
  "categories": [
    "math.DS"
  ],
  "abstract": "We show that the identity component of the group of homeomorphisms that preserve all leaves of a R^d-tilable lamination is simple. Moreover, in the one dimensional case, we show that this group is uniformly perfect. We obtain a similar result for a dense subgroup of homeomorphisms.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-08-06T15:52:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "homeomorphism groups",
      "tilable lamination",
      "simplicity",
      "dense subgroup",
      "dimensional case"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1408.1337A"
    }
  }
}