The Combinatorics of One-Dimensional Endomorphisms

  • Welington de Melo
  • Sebastian van Strien
Part of the Ergebnisse der Mathematik und ihrer Grenzgebiete book series (MATHE3, volume 25)

Abstract

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.

Keywords

Entropy Filtration Manifold Peri Hone 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • Welington de Melo
    • 1
  • Sebastian van Strien
    • 2
  1. 1.Instituto de Matemātica Pura e ApplicadaBrazil
  2. 2.Mathematics DepartmentUniversity of AmsterdamAmsterdamThe Netherlands

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