Large compact separable spaces may all contain $\beta \textbf {N}$
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- by Alan Dow PDF
- Proc. Amer. Math. Soc. 109 (1990), 275-279 Request permission
Abstract:
In the Cohen model any compact separable space that does not contain $\beta N$ has cardinality at most of the continuum.References
- James E. Baumgartner and Martin Weese, Partition algebras for almost-disjoint families, Trans. Amer. Math. Soc. 274 (1982), no. 2, 619–630. MR 675070, DOI 10.1090/S0002-9947-1982-0675070-X
- Saharon Shelah, Proper forcing, Lecture Notes in Mathematics, vol. 940, Springer-Verlag, Berlin-New York, 1982. MR 675955, DOI 10.1007/978-3-662-21543-2
Additional Information
- © Copyright 1990 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 109 (1990), 275-279
- MSC: Primary 54A25; Secondary 03E35, 54D30
- DOI: https://doi.org/10.1090/S0002-9939-1990-1010799-5
- MathSciNet review: 1010799