# Sh:1187

• Rosłanowski, A., & Shelah, S. Borel sets without perfectly many overlapping translations, III. Preprint.
• Abstract:
We expand the results of Rosłanowski and Shelah [RoSh:1138,RoSh:1170] to all Abelian Polish groups (H,+). We show that under the Martin Axiom, if \aleph_\alpha<{\mathfrak c}, \alpha<\omega_1 and 4\leq\iota<\omega, then there exists a \Sigma^0_2 set B\subseteq H which has \aleph_\alpha many pairwise \iota–nondisjoint translations but not a perfect set of such translations.
@article{Sh:1187,
}