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On the intersection of closed unbounded sets

Published online by Cambridge University Press:  12 March 2014

U. Abraham
Affiliation:
Department of Mathematics, Ben Gurion University of the Negev, Beer Sheva, Israel
S. Shelah
Affiliation:
Institute of Mathematics, The Hebrew University, Jerusalem, Israel

Abstract

Forcing extensions yield models of ZFC in which a long sequence of club subsets of ω1, has the following property: every subsequence of size ℵ1, has a finite intersection.

Type
Research Article
Copyright
Copyright © Association for Symbolic Logic 1986

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References

[1]Abraham, U., On forcing without the continuum hypothesis, this Journal, vol. 48 (1983), pp. 658661.Google Scholar
[2]Baumgartner, J. E., Applications of the proper forcing axiom, Handbook of set-theoretic topology (Kunen, K. and Vaughan, J. E., editors), North-Holland, Amsterdam, 1984, pp. 913959.CrossRefGoogle Scholar
[3]Baumgartner, J. E.. Hajnal, A. and Máté, A., Weak saturation properties of ideals, Infinite and finite sets (Colloquium, Keszthely, 1973, dedicated to Paul Erdös on his sixtieth birthday), Vol. I, Colloquia Mathematica Societatis János Bolyai, no. 10, North-Holland, Amsterdam, 1975, pp. 137158.Google Scholar
[4]Ostaszewski, A. J., On countably compact, perfectly normal spaces, Journal of the London Mathematical Society, ser. 2, vol. 14 (1976), pp. 505516.CrossRefGoogle Scholar

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