{
  "id": "math/0508050",
  "version": "v1",
  "published": "2005-08-01T22:05:55.000Z",
  "updated": "2005-08-01T22:05:55.000Z",
  "title": "Orbit structure for groups of homeomorphisms of the circle",
  "authors": [
    "N. C. Esty"
  ],
  "comment": "30 pages, 5 figures, submitted to Topology and Its Applications",
  "categories": [
    "math.DS"
  ],
  "abstract": "In this paper we will refine Sacksteder's theorem for groups of orientation-preserving homeomorphisms of the circle in the case that there exists a finite orbit set. We will give a categorization of the topological possibilities for the orbits of points of the circle, along with examples.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-08-01T22:05:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B05"
    ],
    "keywords": [
      "orbit structure",
      "refine sacksteders theorem",
      "finite orbit set",
      "orientation-preserving homeomorphisms",
      "categorization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......8050E"
    }
  }
}