arXiv:math/0508050 Abstract

arXiv:math/0508050 [math.DS]Abstract References Reviews Resources

Orbit structure for groups of homeomorphisms of the circle

Published 2005-08-01Version 1

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.

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

Categories: math.DS

Subjects: 37B05

Keywords: orbit structure, refine sacksteders theorem, finite orbit set, orientation-preserving homeomorphisms, categorization

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