Exterior multiplication with singularities: a Saito's theorem on vector bundles

Bronislaw Jakubczyk

Let $E$ be a vector bundle over a suitable differential manifold $M$ and let ${\wedge }^{p}E$ denote $p$-exterior product of $E$. Given sections ${\omega }_1,\dots ,{\omega }_k$ of $E$ and a section $η…