Axioms for Stiefel-Whitney homology classes of some singular spaces

Veljan, Darko

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

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Axioms for Stiefel-Whitney homology classes of some singular spaces

Author: Darko Veljan
Journal: Trans. Amer. Math. Soc. 277 (1983), 285-305
MSC: Primary 57P05
MathSciNet review: 690053
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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 mod $\, 2$ and homology manifolds mod $\, 2$ . As a consequence, it is shown that on homology manifolds mod $\, 2$ the generalized Stiefel conjecture holds.

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