Axioms for Stiefel-Whitney homology classes of some singular spaces

Veljan, Darko

doi:10.1090/S0002-9947-1983-0690053-2

Axioms for Stiefel-Whitney homology classes of some singular spaces
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by Darko Veljan

Trans. Amer. Math. Soc. 277 (1983), 285-305

DOI: https://doi.org/10.1090/S0002-9947-1983-0690053-2

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Abstract:

A system of axioms for the Stiefel-Whitney classes of certain type of singular spaces is established. The main examples of these singular spaces are Euler manifolds $\text {mod} 2$ and homology manifolds $\text {mod} 2$. As a consequence, it is shown that on homology manifolds $\text {mod} 2$ the generalized Stiefel conjecture holds.

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