Book Review

The AMS does not provide abstracts of book reviews. You may download the entire review from the links below.

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.

**[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