By Douglas C. Ravenel
Nilpotence and Periodicity in strong Homotopy concept describes a few significant advances made in algebraic topology lately, centering at the nilpotence and periodicity theorems, which have been conjectured through the writer in 1977 and proved by way of Devinatz, Hopkins, and Smith in 1985. over the last ten years a few major advances were made in homotopy conception, and this e-book fills a true desire for an up to date textual content on that subject.
Ravenel's first few chapters are written with a normal mathematical viewers in brain. They survey either the guidelines that lead as much as the theorems and their functions to homotopy idea. The ebook starts with a few uncomplicated innovations of homotopy conception which are had to nation the matter. This contains such notions as homotopy, homotopy equivalence, CW-complex, and suspension. subsequent the equipment of complicated cobordism, Morava K-theory, and formal staff legislation in attribute p are brought. The latter component to the booklet offers experts with a coherent and rigorous account of the proofs. It contains hitherto unpublished fabric at the ruin product and chromatic convergence theorems and on modular representations of the symmetric staff.