{
  "id": "math/0211050",
  "version": "v1",
  "published": "2002-11-04T14:42:37.000Z",
  "updated": "2002-11-04T14:42:37.000Z",
  "title": "Monotone quotients of surface diffeomorphisms",
  "authors": [
    "André de Carvalho",
    "Miguel Paternain"
  ],
  "comment": "14 pages, 4 figures",
  "categories": [
    "math.DS",
    "math.GT"
  ],
  "abstract": "A homeomorphism of a compact metric space is {\\em tight} provided every non-degenerate compact connected (not necessarily invariant) subset carries positive entropy. It is shown that every $C^{1+\\alpha}$ diffeomorphism of a closed surface factors to a tight homeomorphism of a generalized cactoid (roughly, a surface with nodes) by a semi-conjugacy whose fibers carry zero entropy.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-11-04T14:42:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "surface diffeomorphisms",
      "monotone quotients",
      "fibers carry zero entropy",
      "subset carries positive entropy",
      "compact metric space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math.....11050D"
    }
  }
}