论文标题
Borel套件没有完美的重叠翻译，III
Borel sets without perfectly many overlapping translations, III
论文作者
论文摘要
我们将Roslanowski和Shelah Arxive的结果扩展到1806.06283，Arxive：1909.00937至所有完美的Abelian Polish Groups $（H，+）$。特别是，我们表明，如果$α<ω_1$和$ 4 \ leq k <ω$，那么CCC强迫添加$σ^0_2 $ set $ b \ subseteq h $具有$ \aleph_α$aleph_α$aleph_α$许多成对$ k $ - 重叠的翻译，但不是完美的翻译。
We expand the results of Roslanowski and Shelah arXive:1806.06283 , arXive:1909.00937 to all perfect Abelian Polish groups $(H,+)$. In particular, we show that if $α<ω_1$ and $4\leq k<ω$, then there is a ccc forcing notion adding a $Σ^0_2$ set $B\subseteq H$ which has $\aleph_α$ many pairwise $k$--overlapping translations but not a perfect set of such translations.
