Hostname: page-component-76fb5796d-25wd4 Total loading time: 0 Render date: 2024-04-27T02:01:59.518Z Has data issue: false hasContentIssue false
  • English
  • Français

On the intersection of closed unbounded sets

Published online by Cambridge University Press:  12 March 2014

U. Abraham  and
S. Shelah
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
Get access Rights & Permissions [Opens in a new window]

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
Information
The Journal of Symbolic Logic , Volume 51 , Issue 1 , March 1986 , pp. 180 - 189
Copyright
Copyright © Association for Symbolic Logic 1986

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

[1]Abraham, U., On forcing without the continuum hypothesis, this Journal, vol. 48 (1983), pp. 658–661.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. 913–959.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. 137–158.Google Scholar
[4]Ostaszewski, A. J., On countably compact, perfectly normal spaces, Journal of the London Mathematical Society, ser. 2, vol. 14 (1976), pp. 505–516.CrossRefGoogle Scholar