Equiconsistency of \textbackslashκ\textbackslash \kappa\textbackslashκ-compactness and \textbackslashPi11\textbackslash Pi^1_1\textbackslashPi11-subcompactness
Equiconsistency conjecture. The existence of \textbackslashκ\textbackslash \kappa\textbackslashκ which is \textbackslashκ\textbackslash \kappa\textbackslashκ-compact is equiconsistent with the existence of a cardinal…