{
  "id": "1603.01904",
  "version": "v1",
  "published": "2016-03-07T00:50:13.000Z",
  "updated": "2016-03-07T00:50:13.000Z",
  "title": "Continuum-wise expansiveness for generic diffeomorphisms",
  "authors": [
    "Manseob Lee"
  ],
  "comment": "10pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "Let $M$ be a closed smooth manifold and let $f:M\\to M$ be a diffeomorphism. $C^1$-generically, a continuum-wise expansive satisfies Axiom A without cycles. Moreover, there is a partially hyperbolic diffeomorphism $f$ such that it is not continuum-wise expansive.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-03-07T00:50:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D30",
      "34D10"
    ],
    "keywords": [
      "generic diffeomorphisms",
      "continuum-wise expansiveness",
      "closed smooth manifold",
      "continuum-wise expansive satisfies axiom",
      "partially hyperbolic diffeomorphism"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160301904L"
    }
  }
}