Nilpotenz und Periodizität in der Theorie stabiler Homotopie von Douglas C. Ravenel: Neu

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Book Title
Nilpotence and Periodicity in Stable Homotopy Theory
Publication Date
1992-11-08
Pages
224
ISBN
9780691025728
Kategorie

Über dieses Produkt

Product Identifiers

Publisher
Princeton University Press
ISBN-10
069102572X
ISBN-13
9780691025728
eBay Product ID (ePID)
6038771571

Product Key Features

Number of Pages
224 Pages
Language
English
Publication Name
Nilpotence and Periodicity in Stable Homotopy Theory
Subject
Geometry / Non-Euclidean, Topology, Geometry / Algebraic
Publication Year
1992
Type
Textbook
Subject Area
Mathematics
Author
Douglas C. Ravenel
Series
Annals of Mathematics Studies
Format
Trade Paperback

Dimensions

Item Height
0.6 in
Item Weight
12.3 Oz
Item Length
8.9 in
Item Width
6.5 in

Additional Product Features

Intended Audience
College Audience
LCCN
92-026785
Reviews
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., "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 Number
128
Illustrated
Yes
Synopsis
Nilpotence 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.

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