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Main Question or Discussion Point
- Author: John Milnor
- Title: Topology from the Differentiable Viewpoint
- Amazon Link: https://www.amazon.com/dp/0691048339/?tag=pfamazon01-20&tag=pfamazon01-20
- Prerequisities:
- Level: Undergrad
Table of Contents:
Code:
[LIST]
[*] Preface
[*] Smooth manifolds and smooth maps
[*] Tangent spaces and derivatives
[*] Regular values
[*] The fundamental theorem of algebra
[*] The theorem of Sard and Brown
[*] Manifolds with boundary
[*] The Brouwer fixed point theorem
[*] Proof of Sard's theorem
[*] The degree modulo 2 of a mapping
[*] Smooth homotopy and smooth isotopy
[*] Oriented manifolds
[*] The Brouwer degree
[*] Vector fields and the Euler number
[*] Framed cobordism; the Pontryagin construction
[*] The Hopf theorem
[*] Exercises
[*] Appendix: Classifying 1-manifolds
[*] Bibliography
[*] Index
[/LIST]
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