On nowhere dense ccc $P$-sets
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- by Alan Dow and Jan van Mill PDF
- Proc. Amer. Math. Soc. 80 (1980), 697-700 Request permission
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
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M. Bell, A compactification ${w_\mathcal {B}}(N)$ of N with ${w_\mathcal {B}}(N)\backslash N$ ccc nonseparable (to appear).
R. Frankiewicz and C. F. Mills, More on nowhere dense closed P-sets (to appear).
K. Kunen, Weak P-points in ${N^ \ast }$, Proc. Bolyai Jรกnos Soc. Colloq. Topology, (Budapest, 1978) (to appear).
- Kenneth Kunen, Jan van Mill, and Charles F. Mills, On nowhere dense closed $P$-sets, Proc. Amer. Math. Soc. 78 (1980), no.ย 1, 119โ123. MR 548097, DOI 10.1090/S0002-9939-1980-0548097-X
- Jan van Mill, Weak $P$-points in compact $F$-spaces, Topology Proc. 4 (1979), no.ย 2, 609โ628 (1980). MR 598298
- Jan van Mill, A remark on the Rudin-Keisler order of ultrafilters, Houston J. Math. 9 (1983), no.ย 1, 125โ129. MR 699055
Additional Information
- © Copyright 1980 American Mathematical Society
- 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