By Douglas C. Ravenel
Nilpotence and Periodicity in sturdy Homotopy Theory describes a few significant advances made in algebraic topology lately, centering at the nilpotence and periodicity theorems, that have been conjectured by means of the writer in 1977 and proved via Devinatz, Hopkins, and Smith in 1985. over the past ten years a couple of major advances were made in homotopy concept, and this booklet fills a true want for an up to date textual content on that topic.
Ravenel's first few chapters are written with a common mathematical viewers in brain. They survey either the information that lead as much as the theorems and their purposes to homotopy conception. The booklet starts with a few effortless options of homotopy thought which are had to country the matter. This contains such notions as homotopy, homotopy equivalence, CW-complex, and suspension. subsequent the equipment of advanced cobordism, Morava K-theory, and formal crew legislation in attribute p are brought. The latter component to the ebook offers experts with a coherent and rigorous account of the proofs. It contains hitherto unpublished fabric at the damage product and chromatic convergence theorems and on modular representations of the symmetric group.
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