Book Review
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MathSciNet review:
1568064
Full text of review:
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Book Information:
Author:
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.
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
J. Milnor, On the cobordism ring $\Omega ^{\ast }$ and a complex analogue. I, Amer. J. Math. 82 (1960), 505–521. MR 119209, DOI 10.2307/2372970
John W. Milnor and James D. Stasheff, Characteristic classes, Annals of Mathematics Studies, No. 76, Princeton University Press, Princeton, N. J.; University of Tokyo Press, Tokyo, 1974. MR 0440554
S. P. Novikov, Some problems in the topology of manifolds connected with the theory of Thom spaces, Soviet Math. Dokl. 1 (1960), 717–720. MR 0121815
S. P. Novikov, Homotopy properties of Thom complexes, Mat. Sb. (N.S.) 57 (99) (1962), 407–442 (Russian). MR 0157381
[Nov3] -, The methods of algebraic topology from the viewpoint of cobordism theories, Math. USSR-Izv. (1967), 827-913.
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
Robert E. Stong, Notes on cobordism theory, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1968. Mathematical notes. MR 0248858
René Thom, Quelques propriétés globales des variétés différentiables, Comment. Math. Helv. 28 (1954), 17–86 (French). MR 61823, DOI 10.1007/BF02566923
- [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
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)
Review Information:
Reviewer:
Douglas C. Ravenel
Journal:
Bull. Amer. Math. Soc.
29 (1993), 290-293
DOI:
https://doi.org/10.1090/S0273-0979-1993-00422-1