This book gives the reader a thorough knowledge of the basic topological ideas necessary for studying differential manifolds. These topics include immersions and imbeddings, approach techniques, and the Morse classification of surfaces and their cobordism. The author keeps the mathematical prerequis
Differential Topology
β Scribed by Leopoldo Nachbin (Eds.)
- Book ID
- 127456847
- Publisher
- North-Holland
- Year
- 1992
- Tongue
- English
- Weight
- 2 MB
- Series
- North-Holland mathematics studies 173
- Edition
- 1
- Category
- Library
- City
- Amsterdam; New York
- ISBN
- 0080872840
No coin nor oath required. For personal study only.
β¦ Synopsis
"...there are reasons enough to warrant a coherent treatment of the main body of differential topology in the realm of Banach manifolds, which is at the same time correct and complete. This book fills the gap: whenever possible the manifolds treated are Banach manifolds with corners. Corners add to the complications and the authors have carefully fathomed the validity of all main results at corners. Even in finite dimensions some results at corners are more complete and better thought out here than elsewhere in the literature. The proofs are correct and with all details. I see this book as a reliable monograph of a well-defined subject; the possibility to fall back to it adds to the feeling of security when climbing in the more dangerous realms of infinite dimensional differential geometry."
Peter W. Michor
π SIMILAR VOLUMES
This book presents some of the basic topological ideas used in studying differentiable manifolds and maps. Mathematical prerequisites have been kept to a minimum; the standard course in analysis and general topology is adequate preparation. An appendix briefly summarizes some of the backΒ ground mat
This book is intended as an elementary introduction to differential manifolds. The authors concentrate on the intuitive geometric aspects and explain not only the basic properties but also teach how to do the basic geometrical constructions. An integral part of the work are the many diagrams which i