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Circle-valued Morse theory /
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 top...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin ; New York :
De Gruyter,
©2006.
|
| Colección: | De Gruyter studies in mathematics ;
32. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Pajitnov, Andrei V. | |
| 245 | 1 | 0 | |a Circle-valued Morse theory / |c Andrei V. Pajitnov. |
| 260 | |a Berlin ; |a New York : |b De Gruyter, |c ©2006. | ||
| 300 | |a 1 online resource (ix, 454 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 490 | 1 | |a De Gruyter studies in mathematics, |x 0179-0986 ; |v 32 | |
| 504 | |a Includes bibliographical references (pages 437-444) and index. | ||
| 520 | |a 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. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a 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. | |
| 546 | |a In English. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Morse theory. | |
| 650 | 0 | |a Manifolds (Mathematics) | |
| 650 | 6 | |a Théorie de Morse. | |
| 650 | 6 | |a Variétés (Mathématiques) | |
| 650 | 7 | |a MATHEMATICS |x Topology. |2 bisacsh | |
| 650 | 7 | |a Manifolds (Mathematics) |2 fast | |
| 650 | 7 | |a Morse theory |2 fast | |
| 758 | |i has work: |a Circle-valued Morse theory (Text) |1 https://id.oclc.org/worldcat/entity/E39PCFFqk6HcYGdXCWyYB4GFgC |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Pajitnov, Andrei V. |t Circle-valued Morse theory. |d Berlin ; New York : De Gruyter, ©2006 |z 9783110158076 |z 3110158078 |w (OCoLC)77548339 |
| 830 | 0 | |a De Gruyter studies in mathematics ; |v 32. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=314061 |z Texto completo |
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