论文标题
TSI组的行动套装集
Lacunary sets for actions of tsi groups
论文作者
论文摘要
在一个温和的可确定性假设下，我们表征了borel动作家族$γ\ curvearrowright x $ tsi polish off to Polish空间上的tsi toper群，这些空间可以分解为可计算的许多动作，承认与$1_γ$的开放式邻里相对于开放型borel套件。在特殊情况下，$γ$是非架构的，因此，只有$ \ mathbb {e} _0^{\ mathbb {n}} $不连续嵌入$e_γ^x $，就可以得出这样的分解。
Under a mild definability assumption, we characterize the family of Borel actions $Γ\curvearrowright X$ of tsi Polish groups on Polish spaces that can be decomposed into countably-many actions admitting complete Borel sets that are lacunary with respect to an open neighborhood of $1_Γ$. In the special case that $Γ$ is non-archimedean, it follows that there is such a decomposition if and only if there is no continuous embedding of $\mathbb{E}_0^{\mathbb{N}}$ into $E_Γ^X$.
