| Description |
1 online resource (ix, 454 pages) : illustrations |
| Series |
De Gruyter studies in mathematics, 0179-0986 ; 32 |
|
De Gruyter studies in mathematics ; 32.
|
| Contents |
Preface; Introduction; Part 1Morse functions and vector fieldson manifolds; CHAPTER 1Vector fields and C0 topology; CHAPTER 2Morse functions and their gradients; CHAPTER 3Gradient flows of real-valued Morse functions; CHAPTER 4The Kupka-Smale transversality theory forgradient flows; CHAPTER 5Handles; CHAPTER 6The Morse complex of a Morse function; History and Sources; Part 3Cellular gradients.; CHAPTER 7Condition (C); CHAPTER 8Cellular gradients are C0-generic; CHAPTER 9Properties of cellular gradients; Sources; Part 4Circle-valued Morse maps and Novikov complexes |
| Summary |
In 1927, M Morse discovered that the number of critical points of a smooth function on a manifold is closely related to the topology of the manifold. This became a starting point of the Morse theory. This book aims to give a systematic treatment of the geometric foundations of a subfield of that topic, the circle-valued Morse functions |
| Bibliography |
Includes bibliographical references (pages 437-444) and index |
| Notes |
In English |
|
Print version record |
| Subject |
Morse theory.
|
|
Manifolds (Mathematics)
|
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MATHEMATICS -- Topology.
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Manifolds (Mathematics)
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Morse theory
|
| Form |
Electronic book
|
| ISBN |
3110197979 |
|
9783110197976 |
|
