%0 Journal Article %A Blue, Douglas %A Sargsyan, Grigor %T $\textsf {AD}^{+}$ implies $ \omega _{1}$ is a club $ \Theta $-Berkeley cardinal %J Forum of Mathematics, Sigma %D 2025 %P e126 %V 13 %N 1 %U http://geodesic.mathdoc.fr/articles/10.1017/fms.2025.10082/ %R 10.1017/fms.2025.10082 %F 10_1017_fms_2025_10082