| 000 -LEADER |
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| fixed length control field |
02300nam a22002537a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20250103110747.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
190226b ||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781402026959 |
| 040 ## - CATALOGING SOURCE |
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| Transcribing agency |
Tata Book House |
| Original cataloging agency |
ICTS-TIFR |
| 050 ## - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA331 |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Augustin Banyaga |
| 245 ## - TITLE STATEMENT |
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| Title |
Lectures on Morse Homology |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
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| Place of publication, distribution, etc. |
Boston: |
| Name of publisher, distributor, etc. |
Kluwer Academic Publisher, |
| Date of publication, distribution, etc. |
[c2004] |
| 300 ## - Physical Description |
|---|
| Pages: |
324 p |
| 490 ## - SERIES STATEMENT |
|---|
| Series statement |
Texts in the Mathematical Sciences |
| Volume/sequential designation |
Vol. 29 |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
1. Introduction<br/>2. The CW-Homology Theorem<br/>3. Basic Morse Theory<br/>4. The Stable/Unstable Manifold Theorem<br/>5. Basic Differential Topology<br/>6. Morse-Smale Functions<br/>7. The Morse Homology Theorem<br/>8. Morse Theory On Grassmann Manifolds<br/>9. An Overview of Floer Homology Theories |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
This book is based on the lecture notes from a course we taught at Penn State University during the fall of 2002. The main goal of the course was to give a complete and detailed proof of the Morse Homology Theorem (Theo rem 7.4) at a level appropriate for second year graduate students. The course was designed for students who had a basic understanding of singular homol ogy, CW-complexes, applications of the existence and uniqueness theorem for O.D.E.s to vector fields on smooth Riemannian manifolds, and Sard's Theo rem. We would like to thank the following students for their participation in the course and their help proofreading early versions of this manuscript: James Barton, Shantanu Dave, Svetlana Krat, Viet-Trung Luu, and Chris Saunders. We would especially like to thank Chris Saunders for his dedication and en thusiasm concerning this project and the many helpful suggestions he made throughout the development of this text. We would also like to thank Bob Wells for sharing with us his extensive knowledge of CW-complexes, Morse theory, and singular homology. Chapters 3 and 6, in particular, benefited significantly from the many insightful conver sations we had with Bob Wells concerning a Morse function and its associated CW-complex. --- summary provided by publisher |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Algebraic topology |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Ordinary differential equations |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
David Hurtubise |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
<a href="https://link.springer.com/book/10.1007/978-1-4020-2696-6#keywords">https://link.springer.com/book/10.1007/978-1-4020-2696-6#keywords</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
|
| Koha item type |
Book |
