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Conditional stability and real analytic pseudo-Anosov maps

About this Title

Marlies Gerber

Publication: Memoirs of the American Mathematical Society
Publication Year 1985: Volume 54, Number 321
ISBNs: 978-0-8218-2320-0 (print); 978-1-4704-0734-6 (online)
MathSciNet review: 783000
MSC: Primary 58F15

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Table of Contents


  • 1. Introduction
  • 2. Definitions and preliminaries
  • 3. Statements of results
  • 4. Outline of proofs
  • 5. Semi-invariance of systems of cones
  • 6. Construction of invariant line fields
  • 7. Existence and uniqueness of stable and unstable curves
  • 8. Local topological conjugacy
  • 9. Uniform contraction lemma for stable curves
  • 10. Markov partitions and global topological conjugacy
  • 11. Conditional stability of smooth models of generalized pseudo-Anosov maps
American Mathematical Society