On nowhere dense ccc 𝑃-sets

Dow, Alan; van Mill, Jan

doi:10.1090/S0002-9939-1980-0587958-2

On nowhere dense ccc -sets

Authors: Alan Dow and Jan van Mill
Journal: Proc. Amer. Math. Soc. 80 (1980), 697-700
MSC: Primary 54D20
DOI: https://doi.org/10.1090/S0002-9939-1980-0587958-2
MathSciNet review: 587958
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Abstract: We prove that no compact Hausdorff space can be covered by nowhere dense ccc P-sets. As an application it follows that if X is a compact Hausdorff space with a nonisolated P-point then $X \times K$ is not homogeneous for any compact ccc space K.

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