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On closed P-sets with ccc in the space ω*

Published online by Cambridge University Press:  12 March 2014

Rvszard Frankiewicz
Affiliation:
Institute of Mathematics, Polish Academy of Sciences, Warsaw, Poland
Saharon Shelah
Affiliation:
Institute of Mathematics, Polish Academy of Sciences, Warsaw, Poland
Paweł Zbierski
Affiliation:
Institute of Mathematics, The Hebrew University, Jerusalem, Israel

Abstract

It is proved that—consistently — there can be no ccc closed P-sets in the remainder space ω*.

Type
Research Article
Copyright
Copyright © Association for Symbolic Logic 1993

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References

[F-Z]Frankiewicz, R. and Zbierski, P., Strongly discrete subsets in ω*, Fundamenta Mathematicae, vol. 129 (1988), pp. 173180.CrossRefGoogle Scholar
[JMPS]Just, W., Mathias, A. R. D., Kirby, K., and Simon, P., On the existence of large P-ideals, this Journal, vol. 55 (1990), pp. 457465.Google Scholar
[M]Mekler, A. H., Finitely additive measures on N and the additive property, Proceedings of the American Mathematical Society, vol. 92 (1984), pp. 439444.Google Scholar
[vM]van Mill, J., Introductions to βω, Handbook of set-theoretic topology (Kunen, and Vaughan, , editors), North-Holland, Amsterdam, 1984.Google Scholar
[R]Rudin, W., Homogeneity problems in the theory of Čech compactifications, Duke Mathematical Journal, vol. 23 (1956), pp. 409419.CrossRefGoogle Scholar
[S]Shelah, S., Proper forcing, Lecture Notes in Mathematics, vol. 940, Springer-Verlag, Berlin and New York, 1982.CrossRefGoogle Scholar

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On closed P-sets with ccc in the space ω*
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