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The topology of Stiefel manifolds /
Stiefel manifolds are an interesting family of spaces much studied by algebraic topologists. These notes, which originated in a course given at Harvard University, describe the state of knowledge of the subject, as well as the outstanding problems. The emphasis throughout is on applications (within...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge [England] ; New York :
Cambridge University Press,
1976.
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| Colección: | London Mathematical Society lecture note series ;
24. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Title; Copyright; Contents; Preface; 1. Introduction: algebra versus topology; 2. The Stiefel manifolds; 3. The auxiliary spaces; 4. Retractible fibrations; 5. Thorn spaces; 6. Homotopy equivariance; 7. Cross-sections and the S-type; 8. Relative Stiefel manifolds; 9. Cannibalistic characteristic classes; 10. Exponential characteristic classes; 11. The main theorem of J-theory; 12. The fibre suspension; 13. Canonical automorphisms; 14. The iterated suspension; 15. Samelson products; 16. The Hopf construction; 17. The Bott suspension; 18. The intrinsic join again
- 19. Homotopy-commutativity20. The triviality problem; 21. When is P n, k, neutral?; 22. When is V n, 2 neutral?; 23. When is V, neutral?; 24. Further results and problems; Bibliography; Index