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*Nilpotence and periodicity in stable homotopy
theory*,

also known as
the *orange
book.*

*
**
**Nilpotence and periodicity in stable homotopy theory* (Annals of Mathematics
Studies, No 128) , Princeton, NJ, 1992, xiv + 209 pp.,
$24.95. ISBN 0-691-02572-X. It is in print, and you can order it
through Amazon books in paperback
or hardback.

**As of March, 2015, it is also available
for download here (hyperlinks
added February, 2020). **
Here is Amazon's description of it:

*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unpublished material on the smash product and chromatic convergence theorems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.

Published reviews:

If you find any misprints, please email them to me
at ;
see also A note on the thick subcategory
theorem (with A. Jeanneret and P. S. Landweber).

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