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A combinatorial formula for normal Stiefel-Whitney classes


Authors: T. Banchoff and C. McCrory
Journal: Proc. Amer. Math. Soc. 76 (1979), 171-177
MSC: Primary 57R20
DOI: https://doi.org/10.1090/S0002-9939-1979-0534413-3
MathSciNet review: 534413
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Abstract: Using an ordering of the vertices of a combinatorial n-manifold K, we give an explicit description of a simplicial $ \bmod 2$ cycle $ {c_{n - i}}(K)$ which represents the dual of the ith normal Stiefel-Whitney class of K.


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DOI: https://doi.org/10.1090/S0002-9939-1979-0534413-3
Keywords: Stiefel-Whitney class, combinatorial manifold, singularity cycle, homology operation
Article copyright: © Copyright 1979 American Mathematical Society

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