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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

Book Review

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Book Information

Author(s): Boris I. Botvinnik
Title: Manifolds with singularities and the Adams-Novikov spectral sequence
Additional book information: Cambridge University Press, London and New York, 1992, xv+181 pp., US$37.95. ISBN 0-521-46208-1


References:

[DHS]
E. Devinatz, M. J. Hopkins, and J. H. Smith, Nilpotence and stable homotopy theory, Ann. of Math. 128 (1988), 207-242. MR 960945 (89m:55009)

[Mil]
J. W. Milnor, On the cobordism ring $ \Omega^{\ast}$ and a complex analogue, Part I, Amer. J. Math. 82 (1960), 505-521. MR 0119209 (22:9975)

[MS]
J. W. Milnor and J. D. Stasheff, Characteristic classes, Ann. of Math. Stud., vol. 76, Princeton Univ. Press, Princeton, NJ, 1974. MR 0440554 (55:13428)

[Nov1]
S. P. Novikov, Some problems in the topology of manifolds connected with the theory of Thom spaces, Soviet Math. Dokl. 1 (1960), 171-720. MR 0121815 (22:12545)

[Nov2]
-, Homotopy properties of Thom complexes, Mat. Sb. (N.S.) 57 (1962), 407-442. (Russian) MR 0157381 (28:615)

[Nov3]
-, The methods of algebraic topology from the viewpoint of cobordism theories, Math. USSR-Izv. (1967), 827-913.

[Rav]
D. C. Ravenel, Complex cobordism and stable homotopy groups of spheres, Academic Press, New York, 1986. MR 860042 (87j:55003)

[Sto]
R. E. Stong, Notes on cobordism theory, Princeton Univ. Press, Princeton, NJ, 1968. MR 0248858 (40:2108)

[Tho]
R. Thom, Quelques proprétés globales des variétés differentiables, Comment. Math. Helv. 28 (1954), 17-86. MR 0061823 (15:890a)


Additional Information:

Reviewer(s):
Douglas C. Ravenel

Review Information:
Journal: Bull. Amer. Math. Soc. 29 (1993), 290-293.
DOI: 10.1090/S0273-0979-1993-00422-1
PII: S 0273-0979(1993)00422-1




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