What is the Degree of a Smooth Hypersurface?

Antonio Lerario, Michele Stecconi

Let $D$ be a disk in ${\mathbb{R}}^n$ and $f\in C^{r+2}(D,{\mathbb{R}}^k)$. We deal with the problem of the algebraic approximation of the set $j^r{f}^{-1}(W)$ consisting of the set o…