Borel sets without perfectly many overlapping translations, III

Andrzej Roslanowski, Saharon Shelah

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 $\alpha <{\omega }_1$ and $4\le…