3 problems

Let $U \subset \mathbb R^n$ be open with $n \ge 3$, let $f:U\to f(U)\subset\mathbb R^n$ be a non-constant quasiregular mapping, let $K_I(f)$ denote its inner dilatation, and let…

Let $M$ and $N$ be 3-manifolds, and let $f\colon M\to N$ be a branched cover, meaning a continuous, open and discrete mapping. Its branch set $B_f$ is the set of points where $f$ i…

Let $u$ be one of the three classes of two-valued functions considered in the paper. The branch set $\mathcal{B}_u$ consists of real analytic $(n-2)$-dimensional submanifolds, toge…