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Orbit structure for groups of homeomorphisms of the circle

N. C. Esty

math.DSarXiv:math/0508050

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.

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