论文标题
$σ$ - 验证的波兰人团体的行动
$σ$-Lacunary actions of Polish groups
论文作者
论文摘要
我们表明，由波兰人对波兰空间的连续作用引起的每一个本质上可数的轨道等效关系都是$σ$ - 单位。结合[发明。 Math.201（1），309-383，2015]我们从[Adv。 Math.307，312-343，2017]，由Abelian非Archimedean波兰人组的作用引起的每个本质上可数的等效关系基本上都是高限度。
We show that every essentially countable orbit equivalence relation induced by a continuous action of a Polish group on a Polish space is $σ$-lacunary. In combination with [Invent. Math.201 (1), 309-383, 2015] we obtain a straightforward proof of the result from [Adv. Math.307, 312-343,2017] that every essentially countable equivalence relation that is induced by an action of abelian non-archimedean Polish group is essentially hyperfinite.
