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Algebraic topology : a first course /
| Autor principal: | |
|---|---|
| Formato: | Libro |
| Lenguaje: | English |
| Publicado: |
New York :
Springer-Verlag,
c1995.
|
| Colección: | Graduate texts in mathematics ;
153. |
| Materias: | |
| Acceso en línea: | Publisher description Inhaltsverzeichnis Inhaltsverzeichnis Inhaltstext |
Tabla de Contenidos:
- Ch. 1. Path Integrals
- Ch. 2. Angles and Deformations
- Ch. 3. The Winding Number
- Ch. 4. Applications of Winding Numbers
- Ch. 5. De Rham Cohomology and the Jordan Curve Theorem
- Ch. 6. Homology
- Ch. 7. Indices of Vector Fields
- Ch. 8. Vector Fields on Surfaces
- Ch. 9. Holes and Integrals
- Ch. 10. Mayer-Vietoris
- Ch. 11. Covering Spaces
- Ch. 12. The Fundamental Group
- Ch. 13. The Fundamental Group and Covering Spaces
- Ch. 14. The Van Kampen Theorem
- Ch. 15. Cohomology
- Ch. 16. Variations
- Ch. 17. The Topology of Surfaces
- Ch. 18. Cohomology on Surfaces
- Ch. 19. Riemann Surfaces
- Ch. 20. Riemann Surfaces and Algebraic Curves
- Ch. 21. The Riemann-Roch Theorem
- Ch. 22. Toward Higher Dimensions
- Ch. 23. Higher Homology
- Ch. 24. Duality
- Appendix A: Point Set Topology
- Appendix B: Analysis
- Appendix C: Algebra
- Appendix D: On Surfaces
- Appendix E: Proof of Borsuk's Theorem.