Coarse structures and group actions

Abstract

The main results of the paper are: Proposition 0.1. <i>A group $G$ acting coarsely on a coarse space $(X,{\mathcal{C}})$ induces a coarse equivalence $g\mapsto g\cdot x_0$ from $G$ to $X$ for any $x_0\in X$.</i> Theorem 0.2. <i>Two coarse struc