About this product

Product Identifiers

PublisherPrinceton University Press

ISBN-10069102572X

ISBN-139780691025728

eBay Product ID (ePID)6038771571

Product Key Features

Number of Pages224 Pages

LanguageEnglish

Publication NameNilpotence and Periodicity in Stable Homotopy Theory

SubjectGeometry / Non-Euclidean, Topology, Geometry / Algebraic

Publication Year1992

TypeTextbook

AuthorDouglas C. Ravenel

Subject AreaMathematics

SeriesAnnals of Mathematics Studies

FormatTrade Paperback

Dimensions

Item Height0.6 in

Item Weight11 Oz

Item Length8.9 in

Item Width6.5 in

Additional Product Features

Intended AudienceCollege Audience

LCCN92-026785

ReviewsFamiliarity with the material of this book is essential for any a serious homotopy theorist.... [The author's] important role in the developments will ensure that [this book] will remain an important source for some time. -- Bulletin of the London Mathematical Society, Familiarity with the material of this book is essential for any a serious homotopy theorist.... [The author's] important role in the developments will ensure that [this book] will remain an important source for some time., "Familiarity with the material of this book is essential for any a serious homotopy theorist.... [The author's] important role in the developments will ensure that [this book] will remain an important source for some time."-- Bulletin of the London Mathematical Society, "Familiarity with the material of this book is essential for any a serious homotopy theorist.... [The author's] important role in the developments will ensure that [this book] will remain an important source for some time." -- Bulletin of the London Mathematical Society

Series Volume Number128

IllustratedYes

SynopsisNilpotence and Periodicity in Stable Homotopy Theory 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 p 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., Describes some major advances made in algebraic topology, centering on the nilpotence and periodicity theorems. This book begins with some elementary concepts of homotopy theory that are needed to state the problem. The latter portion provides specialists with a coherent and rigorous account of the proofs.