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Tables of Contents for Topology from the Differentiable Viewpoint
Chapter/Section Title
Page #
Page Count
Preface
vii
1. Smooth manifolds and smooth maps
1
9
Tangent spaces and derivatives
2
5
Regular values
7
1
The fundamental theorem of algebra
8
2
2. The theorem of Sard and Brown
10
6
Manifolds with boundary
12
1
The Brouwer fixed point theorem
13
3
3. Proof of Sard's theorem
16
4
4. The degree modulo 2 of a mapping
20
6
Smooth homotopy and smooth isotopy
20
6
5. Oriented manifolds
26
6
The Brouwer degree
27
5
6. Vector fields and the Euler number
32
10
7. Framed cobordism; the Pontryagin construction
42
10
The Hopf theorem
50
2
8. Exercises
52
3
Appendix: Classifying 1-manifolds
55
4
Bibliography
59
4
Index
63