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Book Review
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Book Information
Author(s):
Douglas C. Ravenel
Title:
Nilpotence and periodicity in stable homotopy theory
Additional book information:
Princeton University Press, Princeton, NJ, 1992, xiv + 209 pp., US$24.95. ISBN 0-691-02572-X
References:
- [1]
- J. F. Adams, \emph{The work of M. J. Hopkins}, Cambridge Univ. Press, Cambridge, 1992 pp.~525--529.
- [2]
- E. Devinatz, M. J. Hopkins, and J. H. Smith, Nilpotence and stable homotopy theory. \RM I, Ann. of Math. (2) \textbf{128} (1988), 207--242.
- [3]
- M. J. Hopkins, \emph{Global methods in homotopy theory}, London Math. Soc. Lecture Notes Ser., vol. 117, Cambridge Univ. Press, Cambridge, 1987 pp.~73--96.
- [4]
- M. J. Hopkins and B. H. Gross, The rigid analytic period mapping, Lubin-Tate space, and stable homotopy theory, Bull. Amer. Math. Soc. (N.S.) \textbf{30} (1994), 76--86.
- [5]
- M. J. Hopkins and J. H. Smith, Nilpotence and stable homotopy theory. {\rm II}, Ann. of Math. (2).
- [6]
- G. Nishida, The nilpotence of elements of the stable homotopy groups of spheres, J. Math. Soc. Japan \textbf{25} (1973), 707--732.
- [7]
- D. C. Ravenel, Localization with respect to certain periodic homology theories, Amer. J. Math. \textbf{106} (1984), 351--414.
- [8]
- D. C. Ravenel, Complex cobordism and stable homotopy groups of spheres, Academic Press, New York, 1986.
Additional Information:
Reviewer(s):
Peter S.
Landweber
Review Information:
Journal:
Bull. Amer. Math. Soc.
31
(1994),
243-246.
DOI:
10.1090/S0273-0979-1994-00527-0
PII:
S 0273-0979(1994)00527-0
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