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Proceedings of the American Mathematical Society

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

 

 

Stiefel-Whitney numbers and maps cobordant to embeddings


Author: Richard L. W. Brown
Journal: Proc. Amer. Math. Soc. 48 (1975), 245-250
MathSciNet review: 0358830
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Abstract: A necessary and sufficient condition is given for a continuous map between compact differentiable manifolds to be cobordant in the sense of Stong to an embedding. For the case of a map $ f:{M^n} \to {S^{n + k}}$ the condition reduces to the vanishing of all Stiefel-Whitney numbers of $ {M^n}$ that involve $ {\bar w_i}$ for $ i \geq k$.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1975-0358830-6
Keywords: Cobordism of maps, Stiefel-Whitney numbers, embeddings
Article copyright: © Copyright 1975 American Mathematical Society