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Differential Topology: 2015


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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.


"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)

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