The Topology of Stiefel Manifolds (Paperback)

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