# Sh:1227

- Golshani, M., & Shelah, S.
*Adding highly undefinable sets over L*. Preprint. arXiv: 2311.02322 -
Abstract:

We sow that there exists a generic extension of the Gödel’s constructible universe in which diamond holds and there exists a subset Y \subseteq \omega_1 such that for stationary many \delta < \omega_1, the set Y \cap \delta is not definable in the structure (L_{F(\delta)}, \in), where F(\delta) > \delta is the least ordinal such that L_{F(\delta)}\models“\delta is countable”. - Version 2023-11-04 (6p)

Bib entry

@article{Sh:1227, author = {Golshani, Mohammad and Shelah, Saharon}, title = {{Adding highly undefinable sets over $L$}}, note = {\href{https://arxiv.org/abs/2311.02322}{arXiv: 2311.02322}}, arxiv_number = {2311.02322} }