| eBook ISBN: | 978-1-4704-2411-4 |
| Product Code: | CBMS/49.E |
| List Price: | $31.00 |
| Individual Price: | $24.80 |
| eBook ISBN: | 978-1-4704-2411-4 |
| Product Code: | CBMS/49.E |
| List Price: | $31.00 |
| Individual Price: | $24.80 |
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Book DetailsCBMS Regional Conference Series in MathematicsVolume: 49; 1982; 120 ppMSC: 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.
Readership -
Table of Contents
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Chapters
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Chapter 1. Hyperbolic chain recurrent sets
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Chapter 2. Morse gradients
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Chapter 3. Symbolic dynamics for basic sets
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Chapter 4. Smale diffeomorphisms
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Chapter 5. Zeta functions
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Chapter 6. Morse inequalities
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Chapter 7. Morse-Smale diffeomorphisms
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Chapter 8. Morse-Smale flows
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Chapter 9. Smale flows
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Chapter 10. Flows on $S^3$
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Chapter 11. Beyond the theme
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Appendix A. Subshifts as basic sets
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Appendix B. Constructing fitted diffeomorphisms
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Reviews
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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
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Reviews
- Requests
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 2. Morse gradients
-
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
