Topology of Stiefel Manifolds

Klappentext Stiefel manifolds are an interesting family of spaces much studied by algebraic topologists. Zusammenfassung 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 present state of knowledge of the subject! as well as the outstanding problems. Inhaltsverzeichnis 1. Introduction: algebra versus topology; 2. The Stiefel manifolds; 3. The auxiliary spaces; 4. Retractible fibrations; 5. Thom 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- commutativity; 20. The triviality problem; 21. When is Pn, k neutral?; 22. When is V n, 2 neutral?; 23. When is V n, k neutral?; 24. Further results and problems

Dettagli sul prodotto

• Autori: I. M. James
• Con la collaborazione di: N. J. Hitchin (Editore)
• Editore: Cambridge University Press ELT
• Lingue: Inglese
• Formato: Tascabile
• Pubblicazione: 06.01.1977
• EAN: 9780521213349
• ISBN: 978-0-521-21334-9
• Pagine: 180
• Serie: London Mathematical Society Le
• Categoria: Scienze naturali, medicina, informatica, tecnica > Matematica > Geometria