Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

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: 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 [Enhancements On Off] (What's this?)

  • [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)

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
American Mathematical Society