Differential topology : an introduction /
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Author / Creator: | Gauld, David B. |
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Edition: | Dover ed. |
Imprint: | Mineola, N.Y. : Dover Publications, 2006. |
Description: | vii, 241 p. : ill. ; 24 cm. |
Language: | English |
Series: | Dover books on mathematics Dover books on mathematics. |
Subject: | |
Format: | Print Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/7929805 |
Table of Contents:
- Preface
- 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