The Baire and perfect set properties at singulars cardinals

Vincenzo Dimonte, Alejandro Poveda, Sebastiano Thei

We construct a model of ZFC with a singular cardinal $\kappa$ such that every subset of $\kappa$ in $L(V_{\kappa +1})$ has both the $\kappa$-Perfect Set Property and the $\vec{\mathcal{U}}$-Baire Prope…