Orbit structure for groups of homeomorphisms of the circle

Mathematics – Dynamical Systems

Scientific paper

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30 pages, 5 figures, submitted to Topology and Its Applications

Scientific paper

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.

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