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 the subject) rather than on theory. However, such theory as is required is summarized and references to the literature are given, thus making the book accessible to non-specialists and particularly graduate students. Many examples are given and further problems suggested.
Not yet reviewed
Be the first to review
Review was not posted due to profanity×
- Date Published: January 1977
- format: Paperback
- isbn: 9780521213349
- length: 180 pages
- dimensions: 229 x 152 x 11 mm
- weight: 0.265kg
- availability: Available
Table of Contents
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
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
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email email@example.comRegister Sign in
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.Continue ×
Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.×