Topology from the Differentiable Viewpoint
John Milnor

Book Description

TABLE OF CONTENTS:

	Preface
1	Smooth manifolds and smooth maps	1
	Tangent spaces and derivatives	2
	Regular values	7
	The fundamental theorem of algebra	8
2	The theorem of Sard and Brown	10
	Manifolds with boundary	12
	The Brouwer fixed point theorem	13
3	Proof of Sard's theorem	16
4	The degree modulo 2 of a mapping	20
	Smooth homotopy and smooth isotopy	20
5	Oriented manifolds	26
	The Brouwer degree	27
6	Vector fields and the Euler number	32
7	Framed cobordism; the Pontryagin construction	42
	The Hopf theorem	50
8	Exercises	52
App	Classifying 1-manifolds	55
	Bibliography	59
	Index	63

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File created: 4/23/2008

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