The comparison property of amenable groups

Tomasz Downarowicz, Guohua Zhang

Let a countable amenable group $G$ act on a \zd\ compact metric space $X$. For two clopen subsets $\mathsf{A}$ and $\mathsf{B}$ of $X$ we say that $\mathsf{A}$ is \emph{subequivalent}…