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Proceedings of the American Mathematical Society

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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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Keywords: Euler <IMG WIDTH="85" HEIGHT="41" ALIGN="MIDDLE" BORDER="0" SRC="images/img1.gif" ALT="$\pmod 2$"> space, Stiefel-Whitney homology class
Article copyright: © Copyright 1977 American Mathematical Society