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Markov cell structures near a hyperbolic set

About this Title

Tom Farrell and Lowell Jones

Publication: Memoirs of the American Mathematical Society
Publication Year: 1993; Volume 103, Number 491
ISBNs: 978-0-8218-2553-2 (print); 978-1-4704-0068-2 (online)
DOI: https://doi.org/10.1090/memo/0491
MathSciNet review: 1142492
MSC: Primary 58F15; Secondary 57Q15, 57R20, 58F12

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Table of Contents

Chapters

• 1. Introduction
• 2. Some linear constructions
• 3. Proofs of Propositions 2.10 and 2.14
• 4. Some smooth constructions
• 5. The foliation hypothesis
• 6. Smooth triangulation near $\Lambda$
• 7. Smooth ball structures near $\Lambda$
• 8. Triangulating image balls
• 9. The thickening theorem
• 10. Results in P.L. topology
• 11. Proof of the thickening theorem
• 12. The limit theorem
• 13. Construction of Markov cells
• 14. Removing the foliation hypothesis
• 15. Selected problems