论文标题
HAAR阳性封闭的HAAR阳性分析集
Haar-positive closed subsets of Haar-positive analytic sets
论文作者
论文摘要
我们表明，$ \ mathbb {z}^ω$的每个非HAAR-NULL分析子集都包含一个非Haar-null封闭子集。此外，我们还证明了HAAR-NULL分析子集的代码，因此，在$ \ Mathbb {Z}^ω$的EFFROS Borel空间中封闭的Haar-Null集合，形成$ \MathbfΔ^1_2 $设置。
We show that every non-Haar-null analytic subset of $\mathbb{Z}^ω$ contains a non-Haar-null closed subset. Moreover, we also prove that the codes of Haar-null analytic subsets, and, consequently, closed Haar-null sets in the Effros Borel space of $\mathbb{Z}^ω$ form a $\mathbfΔ^1_2$ set.
