Generalization of the Whitney-Mahowald Theorem
Banghe Li · Transactions of the American Mathematical Society · 1994
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.