A fundamental problem of algebraic topology is the classification of homotopy types and homotopy classes of maps. In this work the author extends results of rational homotopy theory to a subring of the rationale. The methods of proof employ classical commutator calculus of nilpotent group and Lie algebra theory and rely on an extensive and systematic study of the algebraic properties of the classical homotopy operations (composition and addition of maps, smash products, Whitehead products and higher order James-Hopi invariants). The account is essentially self-contained and should be accessible to non-specialists and graduate students with some background in algebraic topology and homotopy theory.
Not yet reviewed
Be the first to review
Review was not posted due to profanity×
- Date Published: November 1981
- format: Paperback
- isbn: 9780521284240
- length: 168 pages
- dimensions: 228 x 152 x 10 mm
- weight: 0.25kg
- availability: Available
Table of Contents
1. Commuter calculus
2. Distributivity laws in homotopy theory
3. Homotopy operations on spheres
4. Higher order Hopf invariants on spheres
5. The homotopy Lie algebra and the spherical cohomotopy algebra
6. Groups of homotopy classes
7. The Hilton-Milnor theorum and its dual.
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.×