Generalization of the Whitney-Mahowald theorem

Li, Bang He

doi:10.1090/S0002-9947-1994-1273536-3

Generalization of the Whitney-Mahowald theorem
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Trans. Amer. Math. Soc. 346 (1994), 511-521 Request permission

Abstract:

The Whitney-Mahowald theorem gave normal Euler number $(\bmod 4)$ for embeddings of a closed $2n$-manifold in Euclidean $4n$-space. We generalize this theorem to embeddings of closed $2n$-manifolds in an oriented $4n$-manifold with an approach in the framework of unoriented bordism groups of maps.

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