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Topology from the Differentiable Viewpoint
John Milnor

Book Description

TABLE OF CONTENTS:

Preface
1Smooth manifolds and smooth maps1
Tangent spaces and derivatives2
Regular values7
The fundamental theorem of algebra8
2The theorem of Sard and Brown10
Manifolds with boundary12
The Brouwer fixed point theorem13
3Proof of Sard's theorem16
4The degree modulo 2 of a mapping20
Smooth homotopy and smooth isotopy20
5Oriented manifolds26
The Brouwer degree27
6Vector fields and the Euler number32
7Framed cobordism; the Pontryagin construction42
The Hopf theorem50
8Exercises52
AppClassifying 1-manifolds55
Bibliography59
Index63

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File created: 11/11/2014

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