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1975 (Publication #21)

Stiefel-Whitney Homology Classes and Singularities of Projections for Polyhedral Manifolds

Amer. Math. Soc. Proc. Sympos. Pure Math., Vol. XXVII, Stanford University 1973, Part I (1975), 333-347.

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Stiefel-Whitney classes of simplicial manifolds can be defined in terms of projections into Euclidean spaces. This paper presents an explicit chain associated with a projection. This is used to formulate a homology class that is independent of the projection, and it is shown that this class is dual to a Stiefel-Whitney cohomology class of the manifold.