arXiv:1508.01265 Abstract | arXiv Analytics

arXiv:1508.01265 [math.GT]Abstract References Reviews Resources

Groups Acting on Metric Spaces with Asymptotic Property C

Published 2015-08-06Version 1

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.

Categories: math.GT, math.MG

Keywords: asymptotic property, metric space, groups acting, asymptotic dimension

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