Download E-books Nilpotence and Periodicity in Stable Homotopy Theory. (AM-128) PDF

By Douglas C. Ravenel

Nilpotence and Periodicity in solid Homotopy Theory describes a few significant advances made in algebraic topology in recent times, centering at the nilpotence and periodicity theorems, that have been conjectured by means of the writer in 1977 and proved through Devinatz, Hopkins, and Smith in 1985. over the last ten years a few major advances were made in homotopy concept, and this ebook fills a true desire 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 information that lead as much as the theorems and their functions to homotopy thought. The booklet starts with a few simple techniques of homotopy thought which are had to kingdom 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 workforce legislation in attribute p are brought. The latter element of the ebook presents experts with a coherent and rigorous account of the proofs. It contains hitherto unpublished fabric at the wreck product and chromatic convergence theorems and on modular representations of the symmetric group.

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