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Homology and Dynamical Systems

A co-publication of the AMS and CBMS
Available Formats:
Electronic ISBN: 978-1-4704-2411-4
Product Code: CBMS/49.E
List Price: $29.00 Individual Price:$23.20
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Homology and Dynamical Systems
A co-publication of the AMS and CBMS
Available Formats:
 Electronic ISBN: 978-1-4704-2411-4 Product Code: CBMS/49.E
 List Price: $29.00 Individual Price:$23.20
• Book Details

CBMS Regional Conference Series in Mathematics
Volume: 491982; 120 pp
MSC: Primary 58;

These lectures give a clear and unified exposition of a major area of current research on the connections between dynamics and topology, treating the fundamental problem—what dynamics can occur in a prescribed homological setting—via algebraic chain complexes derived from the unstable manifold decomposition of dynamics.

• Chapters
• Chapter 1. Hyperbolic chain recurrent sets
• Chapter 3. Symbolic dynamics for basic sets
• Chapter 4. Smale diffeomorphisms
• Chapter 5. Zeta functions
• Chapter 6. Morse inequalities
• Chapter 7. Morse-Smale diffeomorphisms
• Chapter 8. Morse-Smale flows
• Chapter 9. Smale flows
• Chapter 10. Flows on $S^3$
• Chapter 11. Beyond the theme
• Appendix A. Subshifts as basic sets
• Appendix B. Constructing fitted diffeomorphisms
• Reviews

• Becoming a standard reference for workers in the field … Also suitable for advanced graduate students, or for topologists interested in a rapidly growing field of applications.

Michael Maller, Mathematical Reviews
• Requests

Review Copy – for reviewers who would like to review an AMS book
Accessibility – to request an alternate format of an AMS title
Volume: 491982; 120 pp
MSC: Primary 58;

These lectures give a clear and unified exposition of a major area of current research on the connections between dynamics and topology, treating the fundamental problem—what dynamics can occur in a prescribed homological setting—via algebraic chain complexes derived from the unstable manifold decomposition of dynamics.

• Chapters
• Chapter 1. Hyperbolic chain recurrent sets
• Chapter 3. Symbolic dynamics for basic sets
• Chapter 4. Smale diffeomorphisms
• Chapter 5. Zeta functions
• Chapter 6. Morse inequalities
• Chapter 7. Morse-Smale diffeomorphisms
• Chapter 8. Morse-Smale flows
• Chapter 9. Smale flows
• Chapter 10. Flows on $S^3$
• Chapter 11. Beyond the theme
• Appendix A. Subshifts as basic sets
• Appendix B. Constructing fitted diffeomorphisms
• Becoming a standard reference for workers in the field … Also suitable for advanced graduate students, or for topologists interested in a rapidly growing field of applications.

Michael Maller, Mathematical Reviews
Review Copy – for reviewers who would like to review an AMS book
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.