Book Review
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MathSciNet review:
1567666
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Book Information:
Author:
Douglas C. Ravenel
Title:
Complex cobordism and stable homotopy groups of spheres
Additional book information:
Academic Press, Orlando, 1986. xix + 413 pp., $90.00 cloth, $45.00 paperback. ISBN 0-12-583430-6.
J. F. Adams, On the structure and applications of the Steenrod algebra, Comment. Math. Helv. 32 (1958), 180–214. MR 96219, DOI 10.1007/BF02564578
Marc Aubry, Calculs de groupes d’homotopie stables de la sphère, par la suite spectrale d’Adams-Novikov, Math. Z. 185 (1984), no. 1, 45–91 (French). MR 724045, DOI 10.1007/BF01214973
Jack Morava, Noetherian localisations of categories of cobordism comodules, Ann. of Math. (2) 121 (1985), no. 1, 1–39. MR 782555, DOI 10.2307/1971192
Douglas C. Ravenel, A novice’s guide to the Adams-Novikov spectral sequence, Geometric applications of homotopy theory (Proc. Conf., Evanston, Ill., 1977) Lecture Notes in Math., vol. 658, Springer, Berlin, 1978, pp. 404–475. MR 513586
Jean-Pierre Serre, Groupes d’homotopie et classes de groupes abéliens, Ann. of Math. (2) 58 (1953), 258–294 (French). MR 59548, DOI 10.2307/1969789
Joseph H. Silverman, The arithmetic of elliptic curves, Graduate Texts in Mathematics, vol. 106, Springer-Verlag, New York, 1986. MR 817210, DOI 10.1007/978-1-4757-1920-8
George W. Whitehead, Fifty years of homotopy theory, Bull. Amer. Math. Soc. (N.S.) 8 (1983), no. 1, 1–29. MR 682818, DOI 10.1090/S0273-0979-1983-15072-3
W. Stephen Wilson, Brown-Peterson homology: an introduction and sampler, CBMS Regional Conference Series in Mathematics, vol. 48, Conference Board of the Mathematical Sciences, Washington, D.C., 1982. MR 655040
- 1.
- J. F. Adams, On the structure and applications of the Steenrod algebra, Comment. Math. Helv. 32 (1958), 180-214. MR 0096219
- 2.
- M. Aubry, Calculs de groupes d'homotopie stables de la sphère, par la suite spectrale d'Adams-Novikov, Math. Z. 183 (1984), 45-91. MR 724045
- 3.
- J. Morava, Noetherian localisations of categories of cobordism comodules, Ann. of Math. (2) 121 (1985), 1-39. MR 782555
- 4.
- D. Ravenel, A novice's guide to the Adams-Novikov spectral sequence, Geometric Applications of Homotopy Theory II, Lecture Notes in Math., vol. 658, pp. 404-475, Springer-Verlag, Berlin and New York, 1978. MR 513586
- 5.
- J. -P. Serre, Groupes d'homotopie et classes de groupes abéliens, Ann. of Math. (2) 58 (1953), 258-294. MR 59548
- 6.
- J. H. Silverman, The arithmetic of elliptic curves, Springer-Verlag, Berlin and New York, 1986. MR 817210
- 7.
- G. W. Whitehead, Fifty years of homotopy theory, Bull. Amer. Math. Soc. (N. S. ) 8 (1983), 1-29. MR 682818
- 8.
- W. S. Wilson, Brown-Peterson homology, an introduction and sampler, CBMS Regional Conf. Ser. in Math., no. 48, Amer. Math. Soc., Providence, R. I., 1980. MR 655040
Review Information:
Reviewer:
Peter S. Landweber
Journal:
Bull. Amer. Math. Soc.
18 (1988), 88-91
DOI:
https://doi.org/10.1090/S0273-0979-1988-15615-7