Differential Topology: An Introduction

by David B. Gauld

Overview

This text covers topological spaces and properties, some advanced calculus, differentiable manifolds, orientability, submanifolds and an embedding theorem, tangent spaces, vector fields and integral curves, Whitney's embedding theorem, more. Includes 88 helpful illustrations. 1982 edition.

Product Details

ISBN-13:	9780486450216
Publisher:	Dover Publications
Publication date:	03/24/2006
Series:	Dover Books on Mathematics Series
Pages:	256
Sales rank:	1,006,696
Product dimensions:	6.00(w) x 9.10(h) x 0.70(d)

Table of Contents

1. What Is Topology?
2. Topological Spaces
3. Some Topological Properties
4. Some Advanced Calculus
5. Differentiable Manifolds
6. Orientability
7. Submanifolds and an Embedding Theorem
8. Tangent Spaces
9. Critical Points Again
10. Vector Fields and Integral Curves
11. Surgery
12. The Trace of a Surgery
13. Surgery on a Surface
14. Classification of Orientable Surfaces
15. Whitney’s Embedding Theorem
Appendix A. The Unproved Theorems
Appendix B. Further Topics
Notation
Bibliography
Index