2 problems

A precompact domain $\Omega \subseteq \mathbb{R}^2$ has an electrostatic skeleton, meaning a positive measure inside $\Omega$, supported on a set with no simple loops, which genera…

Let $w$ be the data associated with a convex polytope, and let $S[w]$ denote the set defined in Theorem $1$. Non-dividing conjecture. For any convex polytope, $S[w]$ does not divid…