Improved bounds for the double cap conjecture

Domonkos Czifra, Ákos Dúcz, Máté Matolcsi +2

In 1974, Witsenhausen asked for the maximum possible density ${\alpha }_n$ of a measurable subset $A$ of the unit sphere ${\mathbb{S}}^{n-1}\subset {\mathbb{R}}^n$ such that $A$ contains no pa…