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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

The homotopy Thom class of a spherical fibration


Authors: Howard J. Marcum and Duane Randall
Journal: Proc. Amer. Math. Soc. 80 (1980), 353-358
MSC: Primary 55R05; Secondary 55Q15, 57R20
MathSciNet review: 577773
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Abstract: We investigate the following problems. Given a spherical fibration, does the Whitehead square of its homotopy Thorn class vanish? If so, is the homotopy Thom class a cyclic homotopy class?


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1980-0577773-8
PII: S 0002-9939(1980)0577773-8
Keywords: Spherical fibration, Whitehead square, cyclic homotopy class, span of a manifold, immersion
Article copyright: © Copyright 1980 American Mathematical Society