Remarks on strong embeddability for discrete metric spaces and groups
Functional Analysis
2017-09-11 v1 Metric Geometry
Abstract
In this paper, we show that the strong embeddability has fibering permanence property and is preserved under the direct limit for the metric space. Moreover, we show the following result: let is a finitely generated group with a coarse quasi-action on a metric space . If has finite asymptotic dimension and the quasi-stabilizers are strongly embeddable, then is also strongly embeddable.
Cite
@article{arxiv.1709.02522,
title = {Remarks on strong embeddability for discrete metric spaces and groups},
author = {Guoqiang Li and Xianjin Wang},
journal= {arXiv preprint arXiv:1709.02522},
year = {2017}
}