# Sh:1187

- Rosłanowski, A., & Shelah, S.
*Borel sets without perfectly many overlapping translations, III*. Preprint. arXiv: 2009.03471 -
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. - Version 2021-07-28 (47p)

Bib entry

@article{Sh:1187, author = {Ros{\l}anowski, Andrzej and Shelah, Saharon}, title = {{Borel sets without perfectly many overlapping translations, III}}, note = {\href{https://arxiv.org/abs/2009.03471}{arXiv: 2009.03471}}, arxiv_number = {2009.03471} }