Abstract:We answer a question of I. Juhasz by showing that MA $+ \neg $ CH does not imply that every compact ccc space of countable $\pi $-character is separable. The space constructed has the additional property that it does not map continuously onto $I^{\omega _1}$.
Keywords: ccc, non-separable, Hausdorff gap, $\pi $-character
AMS Subject Classification: Primary 54D30, 54G20; Secondary 54A25, 54A35