Israel Journal of Mathematics

, Volume 43, Issue 1, pp 28–48 | Cite as

The shelahP-point independence theorem

  • Edward L. Wimmers


In this paper, we present S. Shelah's example of a model of set theory in which there are noP-points in βN/N. This settles the famous open question: “Is ‘ZFC+there are noP-points in βN/N’ consistent?”


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    W. W. Comfort and S. Negrepontis,The Theory of Ultrafilters, Springer-Verlag, New York, 1974.MATHGoogle Scholar
  2. 2.
    S. Grigorieff,Combinatorics on ideals and forcing, Ann. Math. Log.3 (1971), 363–394.MATHCrossRefMathSciNetGoogle Scholar
  3. 3.
    K. Kunen,Ultrafilters and independent sets, Trans. Am. Math. Soc.172 (1972), 299–306.CrossRefMathSciNetGoogle Scholar
  4. 4.
    K. Kunen,Set Theory, North-Holland, to appear.Google Scholar
  5. 5.
    C. Mills,An easier proof of the Shelah P-Point Independence Theorem, to appear.Google Scholar
  6. 6.
    W. Rudin,Homogeneity problems in the theory of Cech compactifications, Duke Math. J.23 (1956), 409–420.CrossRefMathSciNetGoogle Scholar

Copyright information

© Hebrew University 1982

Authors and Affiliations

  • Edward L. Wimmers
    • 1
  1. 1.Department of MathematicsUniversity of WisconsinMadisonUSA

Personalised recommendations