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Keywords:
ccc; non-separable; Hausdorff gap; $\pi$-character
ccc; non-separable; Hausdorff gap; $\pi$-character
Summary:
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 $I^{\omega_1}$.
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