A Sard theorem for Tame Set-Valued mappings

A. D. Ioffe

If $F$ is a set-valued mapping from ${\mathbb{R}}^n$ into ${\mathbb{R}}^m$ with closed graph, then $y\in {\mathbb{R}}^m$ is a critical value of $F$ if for some $x$ with $y\in F(x)$, $F$ is not metrically regula…