Geodesic
A compact ccc non-separable space from a Hausdorff gap and Martin's Axiom
Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) no. 3, pp. 589-594.

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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 $I^{\omega_1}$.
Classification : 54A25, 54A35, 54D30, 54G20
Keywords: ccc; non-separable; Hausdorff gap; $\pi$-character 
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Bell, Murray. A compact ccc non-separable space from a Hausdorff gap and Martin's Axiom. Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) no. 3, pp. 589-594. http://geodesic.mathdoc.fr/item/CMUC_1996__37_3_a15/