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Published in:
1993 | OriginalPaper | Chapter
The Combinatorics of One-Dimensional Endomorphisms
Authors : Welington de Melo, Sebastian van Strien
Published in: One-Dimensional Dynamics
Publisher: Springer Berlin Heidelberg
Included in: Professional Book Archive
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In this chapter we will discuss endomorphisms of the circle and of the interval from a combinatorial point of view. The aim is to develop an analogue to the topological description of circle homeomorphisms given in Section I.1. As in that section, the main ingredient here is symbolic dynamics and the structure to be considered is the order structure of the interval or of the circle.