论文标题

实际线的准静态组无法有效地作用于该线路

The group of quasi-isometries of the real line cannot act effectively on the line

论文作者

Ye, Shengkui, Zhao, Yanxin

论文摘要

我们证明了$ \ mathrm {qi}^{+}(\ mathbb {r})$ presentation-preserientation-preserving the Real Line的Quasi iSometries是一个可左定的,不可用的群体,它们无法在实际线路上有效地作用于实线$ \ Mathbb {r} $ \ $ \ Mathbb {r}。$。

We prove that the group $\mathrm{QI}^{+}(\mathbb{R})$ of orientation-preserving quasi-isometries of the real line is a left-orderable, non-simple group, which cannot act effectively on the real line $\mathbb{R}.$

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