Groups Acting on Metric Spaces with Asymptotic Property C

Abstract

We show that if a group $G$ acts by isometries on a metric space $M$ which has asymptotic property C, such that the quasi-stabilizers of a point $x\in M$ have asymptotic dimension less than or equal to $n$, then $G$ itself has asymptotic property C.

Cited by in corpus (1)

• On constructions preserving the asymptotic topology of metric spaces