CHAPTER 4. The Kupka-Smale transversality theory for gradient flows

Chapters in this book

1. Frontmatter I
2. Contents VII
3. Preface 1
4. Introduction 5
5. Part 1. Morse functions and vector fields on manifolds
6. CHAPTER 1. Vector fields and C0 topology 17
7. CHAPTER 2. Morse functions and their gradients 33
8. CHAPTER 3. Gradient flows of real-valued Morse functions 67
9. Part 2. Transversality, handles, Morse complexes
10. CHAPTER 4. The Kupka-Smale transversality theory for gradient flows 111
11. CHAPTER 5. Handles 163
12. CHAPTER 6. The Morse complex of a Morse function 195
13. Part 3. Cellular gradients
14. CHAPTER 7. Condition (C) 231
15. CHAPTER 8. Cellular gradients are C0-generic 243
16. CHAPTER 9. Properties of cellular gradients 281
17. Part 4. Circle-valued Morse maps and Novikov complexes
18. CHAPTER 10. Completions of rings, modules and complexes 325
19. CHAPTER 11. The Novikov complex of a circle-valued Morse map 335
20. CHAPTER 12. Cellular gradients of circle-valued Morse functions and the Rationality Theorem 367
21. CHAPTER 13. Counting closed orbits of the gradient flow 383
22. CHAPTER 14. Selected topics in the Morse-Novikov theory 413
23. Backmatter 435