CBMS Regional Conference Series in Mathematics
Volume: 49;
1982;
120 pp;
Softcover
MSC: Primary 58;
Print ISBN: 978-0-8218-1700-1
Product Code: CBMS/49
List Price: $29.00
Individual Price: $23.20
Electronic ISBN: 978-1-4704-2411-4
Product Code: CBMS/49.E
List Price: $29.00
Individual Price: $23.20
Homology and Dynamical Systems
Share this pageJohn M. Franks
A co-publication of the AMS and CBMS
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.
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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
Table of Contents
Table of Contents
Homology and Dynamical Systems
- Cover Cover11 free
- Title iii4 free
- Copyright iv5 free
- Contents v6 free
- Preface vii8 free
- Chapter 1. Hyperbolic chain recurrent sets 110 free
- Chapter 2. Morse gradients 716
- Chapter 3. Symbolic dynamics for basic sets 1726
- Chapter 4. Smale diffeomorphisms 2736
- Chapter 5. Zeta functions 3342
- Chapter 6. Morse inequalities 4958
- Chapter 7. Morse-Smale diffeomorphisms 5766
- Chapter 8. Morse-Smale flows 7382
- Chapter 9. Smale flows 7786
- Chapter 10. Flows on S[sup(3)] 8594
- Chapter 11. Beyond the theme 93102
- Appendix A. Subshifts as basic sets 99108
- Appendix B. Constructing fitted diffeomorphisms 105114
- References 117126
- Back Cover Back Cover1130