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 by way of Devinatz, Hopkins, and Smith in 1985. over the last ten years a few major advances were made in homotopy idea, and this ebook fills a true want for an up to date textual content on that topic.
Ravenel's first few chapters are written with a basic mathematical viewers in brain. They survey either the guidelines that lead as much as the theorems and their purposes to homotopy concept. The e-book starts with a few basic recommendations of homotopy thought which are had to country the matter. This comprises such notions as homotopy, homotopy equivalence, CW-complex, and suspension. subsequent the equipment of complicated cobordism, Morava K-theory, and formal crew legislation in attribute p are brought. The latter element of the booklet offers experts with a coherent and rigorous account of the proofs. It comprises hitherto unpublished fabric at the ruin product and chromatic convergence theorems and on modular representations of the symmetric group.
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