Mathematics – Dynamical Systems
Scientific paper
2005-08-01
Mathematics
Dynamical Systems
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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