2 problems

Let a measuring function be given, and let an $i$-essential value mean a critical value at which homology in degree $i$ changes. Assume that torsion is not involved, and allow othe…

Yomdin's conjecture. For $k\geqslant n$, a compact set $B=C_vf$ for some function $f\in C^k(\mathbb R^n,\mathbb R)$ with compactly supported derivative if and only if $B$ is a…