Book Review
The AMS does not provide abstracts of book reviews.
You may download the entire review from the links below.
MathSciNet review:
1568138
Full text of review:
PDF
This review is available free of charge.
Book Information:
Author:
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.
J. Frank Adams, The selected works of J. Frank Adams. Vol. I, Cambridge University Press, Cambridge, 1992. Edited and with an introduction and biographical data by J. P. May and C. B. Thomas. MR 1203312
Ethan S. Devinatz, Michael J. Hopkins, and Jeffrey H. Smith, Nilpotence and stable homotopy theory. I, Ann. of Math. (2) 128 (1988), no. 2, 207–241. MR 960945, DOI 10.2307/1971440
Michael J. Hopkins, Global methods in homotopy theory, Homotopy theory (Durham, 1985) London Math. Soc. Lecture Note Ser., vol. 117, Cambridge Univ. Press, Cambridge, 1987, pp. 73–96. MR 932260
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.) 30 (1994), no. 1, 76–86. MR 1217353, DOI 10.1090/S0273-0979-1994-00438-0
Michael J. Hopkins and Jeffrey H. Smith, Nilpotence and stable homotopy theory. II, Ann. of Math. (2) 148 (1998), no. 1, 1–49. MR 1652975, DOI 10.2307/120991
Goro Nishida, The nilpotency of elements of the stable homotopy groups of spheres, J. Math. Soc. Japan 25 (1973), 707–732. MR 341485, DOI 10.2969/jmsj/02540707
Douglas C. Ravenel, Localization with respect to certain periodic homology theories, Amer. J. Math. 106 (1984), no. 2, 351–414. MR 737778, DOI 10.2307/2374308
Douglas C. Ravenel, Complex cobordism and stable homotopy groups of spheres, Pure and Applied Mathematics, vol. 121, Academic Press, Inc., Orlando, FL, 1986. MR 860042
- [1]
- J. F. Adams, The work of M. J. Hopkins, The selected works of J. Frank Adams, Vol. II (J. P. May and C. B. Thomas, eds.), Cambridge Univ. Press, Cambridge, 1992, pp. 525-529. MR 1203313 (94d:01095b)
- [2]
- E. Devinatz, M. J. Hopkins, and J. H. Smith, Nilpotence and stable homotopy theory. I, Ann. of Math. (2) 128 (1988), 207-242. MR 960945 (89m:55009)
- [3]
- M. J. Hopkins, Global methods in homotopy theory, Homotopy theory (E. Rees and J. D. S. Jones, eds.), London Math. Soc. Lecture Notes Ser., vol. 117, Cambridge Univ. Press, Cambridge, 1987, pp. 73-96. MR 932260 (89g:55022)
- [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.) 30 (1994), 76-86. MR 1217353 (94k:55009)
- [5]
- M. J. Hopkins and J. H. Smith, Nilpotence and stable homotopy theory. II, Ann. of Math. (2) (to appear). MR 1652975 (99h:55009)
- [6]
- G. Nishida, The nilpotence of elements of the stable homotopy groups of spheres, J. Math. Soc. Japan 25 (1973), 707-732. MR 0341485 (49:6236)
- [7]
- D. C. Ravenel, Localization with respect to certain periodic homology theories, Amer. J. Math. 106 (1984), 351-414. MR 737778 (85k:55009)
- [8]
- -, Complex cobordism and stable homotopy groups of spheres, Academic Press, New York, 1986. MR 860042 (87j:55003)
Review Information:
Reviewer:
Peter S. Landweber
Journal:
Bull. Amer. Math. Soc.
31 (1994), 243-246
DOI:
https://doi.org/10.1090/S0273-0979-1994-00527-0
