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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

On nowhere dense ccc $ P$-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.


References [Enhancements On Off] (What's this?)

  • [B] M. Bell, A compactification $ {w_\mathcal{B}}(N)$ of N with $ {w_\mathcal{B}}(N)\backslash N$ ccc nonseparable (to appear).
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  • [K] K. Kunen, Weak P-points in $ {N^ \ast }$, Proc. Bolyai János Soc. Colloq. Topology, (Budapest, 1978) (to appear).
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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1980-0587958-2
Keywords: P-set, independent matrix, ccc, homogeneous
Article copyright: © Copyright 1980 American Mathematical Society

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