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...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; New York :
De Gruyter,
©2006.
|
| Schriftenreihe: | De Gruyter studies in mathematics ;
32. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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. |
| Beschreibung: | 1 online resource (ix, 454 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 437-444) and index. |
| ISBN: | 3110197979 9783110197976 |
| ISSN: | 0179-0986 ; |
Internformat
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| 245 | 1 | 0 | |a Circle-valued Morse theory / |c Andrei V. Pajitnov. |
| 260 | |a Berlin ; |a New York : |b De Gruyter, |c ©2006. | ||
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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. | ||
| 650 | 0 | |a Morse theory. |0 http://id.loc.gov/authorities/subjects/sh87005621 | |
| 650 | 0 | |a Manifolds (Mathematics) |0 http://id.loc.gov/authorities/subjects/sh85080549 | |
| 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 | |
| 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 |
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Datensatz im Suchindex
| DE-BY-FWS_katkey | ZDB-4-EBA-ocn236337992 |
|---|---|
| _version_ | 1816881669579210753 |
| adam_text | |
| any_adam_object | |
| author | Pajitnov, Andrei V. |
| author_facet | Pajitnov, Andrei V. |
| author_role | |
| author_sort | Pajitnov, Andrei V. |
| author_variant | a v p av avp |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QA331 |
| callnumber-raw | QA331 .P35 2006eb |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 350 |
| collection | ZDB-4-EBA |
| 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. |
| ctrlnum | (OCoLC)236337992 |
| dewey-full | 514/.74 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514/.74 |
| dewey-search | 514/.74 |
| dewey-sort | 3514 274 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | ZDB-4-EBA-ocn236337992 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:16:24Z |
| institution | BVB |
| isbn | 3110197979 9783110197976 |
| issn | 0179-0986 ; |
| language | English |
| oclc_num | 236337992 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (ix, 454 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | De Gruyter, |
| record_format | marc |
| series | De Gruyter studies in mathematics ; |
| series2 | De Gruyter studies in mathematics, |
| spelling | Pajitnov, Andrei V. Circle-valued Morse theory / Andrei V. Pajitnov. Berlin ; New York : De Gruyter, ©2006. 1 online resource (ix, 454 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier data file De Gruyter studies in mathematics, 0179-0986 ; 32 Includes bibliographical references (pages 437-444) and index. 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. Print version record. 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. In English. Morse theory. http://id.loc.gov/authorities/subjects/sh87005621 Manifolds (Mathematics) http://id.loc.gov/authorities/subjects/sh85080549 Théorie de Morse. Variétés (Mathématiques) MATHEMATICS Topology. bisacsh Manifolds (Mathematics) fast Morse theory fast Print version: Pajitnov, Andrei V. Circle-valued Morse theory. Berlin ; New York : De Gruyter, ©2006 9783110158076 3110158078 (OCoLC)77548339 De Gruyter studies in mathematics ; 32. http://id.loc.gov/authorities/names/n83742913 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=281596 Volltext |
| spellingShingle | Pajitnov, Andrei V. Circle-valued Morse theory / De Gruyter studies in mathematics ; 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. Morse theory. http://id.loc.gov/authorities/subjects/sh87005621 Manifolds (Mathematics) http://id.loc.gov/authorities/subjects/sh85080549 Théorie de Morse. Variétés (Mathématiques) MATHEMATICS Topology. bisacsh Manifolds (Mathematics) fast Morse theory fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh87005621 http://id.loc.gov/authorities/subjects/sh85080549 |
| title | Circle-valued Morse theory / |
| title_auth | Circle-valued Morse theory / |
| title_exact_search | Circle-valued Morse theory / |
| title_full | Circle-valued Morse theory / Andrei V. Pajitnov. |
| title_fullStr | Circle-valued Morse theory / Andrei V. Pajitnov. |
| title_full_unstemmed | Circle-valued Morse theory / Andrei V. Pajitnov. |
| title_short | Circle-valued Morse theory / |
| title_sort | circle valued morse theory |
| topic | Morse theory. http://id.loc.gov/authorities/subjects/sh87005621 Manifolds (Mathematics) http://id.loc.gov/authorities/subjects/sh85080549 Théorie de Morse. Variétés (Mathématiques) MATHEMATICS Topology. bisacsh Manifolds (Mathematics) fast Morse theory fast |
| topic_facet | Morse theory. Manifolds (Mathematics) Théorie de Morse. Variétés (Mathématiques) MATHEMATICS Topology. Morse theory |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=281596 |
| work_keys_str_mv | AT pajitnovandreiv circlevaluedmorsetheory |