Proceedings of the American Mathematical Society

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

 

 

Stiefel-Whitney homology classes of quasi-regular cell complexes


Authors: Richard Goldstein and Edward C. Turner
Journal: Proc. Amer. Math. Soc. 64 (1977), 157-162
MSC: Primary 57D20; Secondary 57C05
MathSciNet review: 0467765
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Abstract: A quasi-regular cell complex is defined and shown to have a reasonable barycentric subdivision. In this setting, Whitney's theorem that the k-skeleton of the barycentric subdivision of a triangulated n-manifold is dual to the $ (n - k)$th Stiefel-Whitney cohomology class is proven, and applied to projective spaces, lens spaces and surfaces.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1977-0467765-1
Keywords: Euler $ \pmod 2$ space, Stiefel-Whitney homology class
Article copyright: © Copyright 1977 American Mathematical Society