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Simplicial dynamical systems

About this Title

Ethan Akin

Publication: Memoirs of the American Mathematical Society
Publication Year: 1999; Volume 140, Number 667
ISBNs: 978-0-8218-1383-6 (print); 978-1-4704-0258-7 (online)
DOI: https://doi.org/10.1090/memo/0667
MathSciNet review: 1627928
MSC: Primary 54H20; Secondary 28D05, 37A99, 37Bxx, 57Q05

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Table of Contents

Chapters

• 1. Chain recurrence and basic sets
• 2. Simplicial maps and their local inverses
• 3. The shift factor maps for a simplicial dynamical system
• 4. Recurrence and basic set images
• 5. Invariant measures
• 6. Generalized simplicial dynamical systems
• 7. Examples
• 8. PL roundoffs of a continuous map
• 9. Nondegenerate maps on manifolds
• 10. Appendix: Stellar and lunar subdivisions
• 11. Appendix: Hyperbolicity for relations