# Kneser, M.

## Kneser–Poulsen conjecture ★★★

Author(s): Kneser; Poulsen

\begin{conjecture} If a finite set of unit balls in $\mathbb{R}^n$ is rearranged so that the distance between each pair of centers does not decrease, then the volume of the union of the balls does not decrease. \end{conjecture}

Keywords: pushing disks