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Transactions of the American Mathematical Society

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Stiefel-Whitney homology classes and bordism

Author: Ethan Akin
Journal: Trans. Amer. Math. Soc. 205 (1975), 341-359
MSC: Primary 57D90
MathSciNet review: 0358829
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Abstract: We develop the theory of $ \bmod 2$ Stiefel-Whitney homology classes for Euler polyhedra. We then describe a simple method of obtaining p.1. bordism theories. Finally, we define the ungraded bordism theory of Euler spaces and show that it is isomorphic to ordinary total homology.

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