Differential Topology - Rilegato

Mukherjee, Amiya

Rilegato

ISBN 10: 331919044X ISBN 13: 9783319190440

Casa editrice: Birkhauser, 2015

Riassunto

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 Medal. Explicitly, the topics covered are Thom transversality, Morse theory, theory of handle presentation, h-cobordism theorem and the generalised Poincaré conjecture. The material is the outcome of lectures and seminars on various aspects of differentiable manifolds and differential topology given over the years at the Indian Statistical Institute in Calcutta, and at other universities throughout India.

The book will appeal to graduate students and researchers interested in these topics. An elementary knowledge of linear algebra, general topology, multivariate calculus, analysis and algebraic topology is recommended.

Su questo libro

Recensione:

“The book presented by the author consists of ten chapters. ... it may serve as the first source of information on Differential Topology for all mathematics major students.” (Andrew Bucki, zbMATH 1332.57001, 2016)

Contenuti:

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. 

Su questa edizione

• Editore: Birkhauser
• Data di pubblicazione: 2015
• ISBN 10: 331919044X
• ISBN 13: 9783319190440
• Rilegatura: Copertina rigida
• Numero edizione: 2
• Numero di pagine: 364