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The topological dynamics of Ellis actions

About this Title

Ethan Akin, Joseph Auslander and Eli Glasner

Publication: Memoirs of the American Mathematical Society
Publication Year 2008: Volume 195, Number 913
ISBNs: 978-0-8218-4188-4 (print); 978-1-4704-0519-9 (online)
MathSciNet review: 2437846
MSC: Primary 37B05; Secondary 22A10, 37A15, 54H20

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Table of Contents


  • Introduction
  • 1. Semigroups, monoids and their actions
  • 2. Ellis semigroups and Ellis actions
  • 3. Continuity conditions
  • 4. Applications using ideals
  • 5. Classical dynamical systems
  • 6. Classical actions: the group case
  • 7. Classical actions: the Abelian case
  • 8. Iterations of continuous maps