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Proceedings of the American Mathematical Society

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

 

 

Nonstable homotopy groups of Thom complexes


Author: P. J. Ledden
Journal: Proc. Amer. Math. Soc. 29 (1971), 404-410
MSC: Primary 57.20
DOI: https://doi.org/10.1090/S0002-9939-1971-0288776-X
MathSciNet review: 0288776
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Abstract: The first nonstable homotopy group of $ MO(n),{\pi _{2n}}(MO(n))$, is computed for all n, together with the corresponding Postnikov invariant. The computations give a new proof of a theorem of Mahowald on the normal bundle of an imbedding.


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DOI: https://doi.org/10.1090/S0002-9939-1971-0288776-X
Keywords: Thom spaces, nonstable homotopy groups, orthogonal realization, normal bundle, imbedding theorems
Article copyright: © Copyright 1971 American Mathematical Society