A model with a precipitous ideal, but no normal precipitous ideal

Moti Gitik*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Starting with a measurable cardinal κ of the Mitchell order κ++ we construct a model with a precipitous ideal on N 1 but without normal precipitous ideals. This answers a question by T. Jech and K. Prikry. In the constructed model there are no Q-point precipitous filters on N1, i. e. those isomorphic to extensions of Cub N1.

Original languageEnglish
Article number1250008
JournalJournal of Mathematical Logic
Volume13
Issue number1
DOIs
StatePublished - Jun 2013

Keywords

  • Precipitous ideals
  • Rudin-Keisler increasing sequences
  • normality
  • ∞-semi precipitous filters

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