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)

@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}
}