"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 It includes hitherto unpublished material on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.
General
Imprint: |
Princeton University Press
|
Country of origin: |
United States |
Series: |
Annals of Mathematics Studies |
Release date: |
November 1992 |
First published: |
November 1992 |
Authors: |
Douglas C. Ravenel
|
Dimensions: |
229 x 152 x 12mm (L x W x T) |
Format: |
Paperback - Trade
|
Pages: |
224 |
Edition: |
New |
ISBN-13: |
978-0-691-02572-8 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Topology >
Algebraic topology
|
LSN: |
0-691-02572-X |
Barcode: |
9780691025728 |
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