论文标题
混合身份，遗传分离的动作和振荡
Mixed identities, hereditarily separated actions and oscillation
论文作者
论文摘要
给定拓扑$ g $ - 空间，我们考虑了以超过$ g $的参数的方程式。特别是，我们在带有参数的单词上制定了一些非常一般的条件，$ w（\ bar {y}，\ bar {g}）$在$ g $上保证了不平等$ w（\ bar {y}，\ bar {g}），\ bar {g}）\ neq 1 $在$ g $中具有解决方案。这些结果在某些典型情况下进行了说明，特别是汤普森组$ f $的标准操作，并考虑了分支组。 本文的主要结果以某种形式出现在第二作者的博士学位论文的第2节中（ARXIV：1308.6330）。
Given a topological $G$-space we consider equations with parameters over $G$. In particular we formulate some very general conditions on words with parameters $w(\bar{y},\bar{g})$ over $G$ which guarantee that the inequality $w(\bar{y},\bar{g})\neq 1$ has a solution in $G$. These results are illustrated in some typical situations, in particular standard actions of Thompson's group $F$ and branch groups are considered. The major results of this paper appeared in some form in Section 2 of the PhD thesis of the second author (avalable at arXiv:1308.6330).
