On problems of Danzer and Gowers and dynamics on the space of closed subsets of ${\mathbb{R}}^d$

Omri Solan, Yaar Solomon, Barak Weiss

Considering the space of closed subsets of ${\mathbb{R}}^d$, endowed with the Chabauty-Fell topology, and the affine action of $S{L}_d(\mathbb{R})⋉{\mathbb{R}}^d$, we prove that th…