Differential Topology

• Main Author: Mukherjee, Amiya (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2015.
• Edition: 2nd ed. 2015.
• Subjects: Mathematics.; Global analysis (Mathematics).; Manifolds (Mathematics).; Complex manifolds.; Global Analysis and Analysis on Manifolds.; Manifolds and Cell Complexes (incl. Diff.Topology).

This book presents a systematic and comprehensive account of the theory of differentiable manifolds and provides the necessary background for the use of fundamental differential topology tools. The text includes, in particular, the earlier works of Stephen Smale, for which he was awarded the Fields...

Table of Contents:

• Preface
• 1.Basic Concepts of Manifolds
• 2.Approximation Theorems and Whitney s Embedding
• 3.Linear Structures on Manifolds
• 4.Riemannian Manifolds
• 5.Vector Bundles on Manifolds
• 6.Transversality
• 7.Tubular Neighbourhoods
• 8.Spaces of Smooth Maps
• 9.Morse Theory
• 10.Theory of Handle Presentations
• Bibliography
• Index. .