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Archive for Mathematical Logic

, Volume 56, Issue 7–8, pp 911–934 | Cite as

The nonstationary ideal on \(P_\kappa (\lambda )\) for \(\lambda \) singular

  • Pierre MatetEmail author
  • Saharon Shelah
Article
  • 108 Downloads

Abstract

We give a new characterization of the nonstationary ideal on \(P_\kappa (\lambda )\) in the case when \(\kappa \) is a regular uncountable cardinal and \(\lambda \) a singular strong limit cardinal of cofinality at least \(\kappa \).

Keywords

\(P_\kappa (\lambda )\) Nonstationary ideal Precipitous ideal 

Mathematics Subject Classification

03E05 03E55 

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Notes

Acknowledgements

The authors would like to express their gratitude to the referee for a number of helpful suggestions.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  1. 1.Laboratoire de MathématiquesUniversité de Caen - CNRSCaen CedexFrance
  2. 2.Institute of MathematicsThe Hebrew University of JerusalemJerusalemIsrael
  3. 3.Department of MathematicsRutgers UniversityNew BrunswickUSA

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