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Nilpotence and Periodicity in Stable Homotopy Theory






Publisher:  Princeton University Press
Summary: Nilpotence and Periodicity in Stable Homotopy Theorydescribes 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 characteristicpare 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 It includes hitherto unpublished material on the smash product and chromatic convergence theorems and on modular representations of the symmetric group.

Ravenel, Douglas C. is the author of Nilpotence and Periodicity in Stable Homotopy Theory, published under ISBN 9780691025728 and 069102572X. Five hundred forty seven Nilpotence and Periodicity in Stable Homotopy Theory textbooks are available for sale on ValoreBooks.com, one hundred eighty one used from the cheapest price of $46.98, or buy new starting at $51.97.
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Nilpotence and Periodicity in Stable Homotopy Theory

ISBN-13: 9780691025728

ISBN: 069102572X

Publisher: Princeton University Press
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