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, which have been conjectured through the writer in 1977 and proved via Devinatz, Hopkins, and Smith in 1985. over the last ten years a couple of major advances were made in homotopy idea, and this ebook fills a true desire for an updated textual content on that topic.
Ravenel's first few chapters are written with a normal mathematical viewers in brain. They survey either the tips that lead as much as the theorems and their purposes to homotopy idea. The e-book starts off with a few trouble-free innovations of homotopy concept which are had to nation 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 staff legislation in attribute p are brought. The latter element of the e-book presents experts with a coherent and rigorous account of the proofs. It contains hitherto unpublished fabric at the spoil product and chromatic convergence theorems and on modular representations of the symmetric group.
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