离散度量空间和群的强可嵌入性的注记
Remarks on strong embeddability for discrete metric spaces and groups
摘要：
本文证明了在度量空间中强可嵌入性具有持久性，并在直接极限下保持。此外，我们还证明了如下结果：设$G$是度量空间$X$上具有粗拟作用的有限生成群.若$X$具有有限渐近维数且拟稳定子是强可嵌入的，则$G$也是强可嵌入的.
英文摘要：
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 $G$ is a finitely generated group with a coarse quasi-action on a metric space $X$. If $X$ has finite asymptotic dimension and the quasi-stabilizers are strongly embeddable, then $G$ is also strongly embeddable.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
