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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Wu classes
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by Robert Stong and Toshio Yoshida PDF
Proc. Amer. Math. Soc. 100 (1987), 352-354 Request permission

Abstract:

This paper shows that a nonbounding closed manifold with $\operatorname {Wu}$ classes ${v_i} = 0$ for $i > k$ has dimension bounded by some function of $k$.
References
  • André Didierjean, Classes de cohomologie invariantes par cobordisme et classes de cobordisme se fibrant sur des sphères, C. R. Acad. Sci. Paris Sér. A-B 289 (1979), no. 3, A165–A167 (French, with English summary). MR 552202
  • J. Milnor, On the Stiefel-Whitney numbers of complex manifolds and of spin manifolds, Topology 3 (1965), 223–230. MR 180977, DOI 10.1016/0040-9383(65)90055-8
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Additional Information
  • © Copyright 1987 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 100 (1987), 352-354
  • MSC: Primary 57R20
  • DOI: https://doi.org/10.1090/S0002-9939-1987-0884478-9
  • MathSciNet review: 884478