{
  "id": "0809.4965",
  "version": "v1",
  "published": "2008-09-29T13:32:54.000Z",
  "updated": "2008-09-29T13:32:54.000Z",
  "title": "Partial hyperbolicity far from homoclinic bifurcations",
  "authors": [
    "Sylvain Crovisier"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove that any diffeomorphism of a compact manifold can be C^1-approximated by a diffeomorphism which exhibits a homoclinic bifurcation (a homoclinic tangency or a heterodimensional cycle) or by a diffeomorphism which is partially hyperbolic (its chain-recurrent set splits into partially hyperbolic pieces whose centre bundles have dimensions less or equal to two). We also study in a more systematic way the central models introduced in arXiv:math/0605387.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-09-29T13:32:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37C05",
      "37C20",
      "37C29",
      "37C50",
      "37D25",
      "37D30"
    ],
    "keywords": [
      "partial hyperbolicity far",
      "homoclinic bifurcation",
      "diffeomorphism",
      "chain-recurrent set splits",
      "compact manifold"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0809.4965C"
    }
  }
}