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Nilpotence and Periodicity in Stable Homotopy Theory. (AM-128), Volume 128 (Annals of Mathematics Studies, 128) PDF

224 Pages·1992·6.3 MB·English
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by Douglas C. Ravenel| 1992| 224 pages| 6.3| English

About Nilpotence and Periodicity in Stable Homotopy Theory. (AM-128), Volume 128 (Annals of Mathematics Studies, 128)

and “Nilpotence and Periodicity in Stable Homotopy Theory and ” describes some major advances made in algebraic topology in recent years, centering on the nilpotence and periodicity theorems, which were conjectured by the author in 1977 and proved by Devinatz, Hopkins, and Smith in 1985. During the last ten years a number of significant advances have been made in homotopy theory, and this book fills a real need for an up-to-date text on that topic.Ravenel’s first few chapters are written with a general mathematical audience in mind. They survey both the ideas that lead up to the theorems and their applications to homotopy theory. The book begins with some elementary concepts of homotopy theory that are needed to state the problem. This includes such notions as homotopy, homotopy equivalence, CW-complex, and suspension. Next the machinery of complex cobordism, Morava K-theory, and formal group laws in characteristic and “p and ” are introduced. The latter portion of the book provides specialists with a coherent and rigorous account of the proofs. It includes hitherto unpublished material on the smash product and chromatic convergence theorems and on modular representations of the symmetric group.

Detailed Information

Author:Douglas C. Ravenel
Publication Year:1992
ISBN:9780691087924
Pages:224
Language:English
File Size:6.3
Format:PDF
Price:FREE
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