3 problems

Hadwiger's illumination conjecture for convex bodies
Let $n\geq 3$ and let $K$ be an $n$ -dimensional convex body. A positive homothetic copy of $K$ is a set of the form $x+\lambda K$ with $x\in\mathbb{R}^n$ and $0<\lambda<1$ . Hadwige…
openconvex-geometry covering illumination-problem
0 responses
020
Complex illumination conjecture for the polydisc
Complex illumination conjecture. We have
opencomplex-geometry convex-geometry illumination-problem
0 responses
015
Levi-Hadwiger illumination conjecture
Levi-Hadwiger illumination conjecture. We have
openconvex-geometry covering-problems illumination-problem
0 responses
07

Hadwiger's illumination conjecture for convex bodies