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Israel Journal of Mathematics

, Volume 67, Issue 2, pp 225–242 | Cite as

On weakly precipitous filters

  • Hans-Dieter Donder
  • Jean-Pierre Levinski
Article

Abstract

We answer a question of T. Jech, showing that (1) there may exist weakly precipitous filters inL, and (2) there may exist a weakly precipitous filter on ω1 in a set-generic extension ofL. Hence, the existence of a weakly precipitous filter on ω1 does not imply the existence of 0#.

Keywords

Winning Strategy Normal Filter Regular Cardinal Elementary Embedding Singular Cardinal 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Copyright information

© Hebrew University 1989

Authors and Affiliations

  • Hans-Dieter Donder
    • 1
    • 2
  • Jean-Pierre Levinski
    • 1
    • 2
  1. 1.Mathematishes InstitutFreie UniversitätBerlin, 33FRG
  2. 2.Department of MathematicsDartmouth CollegeHanoverUSA

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