On the strength of no normal precipitous filter

Moti Gitik; Liad Tal

doi:10.1007/s00153-010-0211-x

On the strength of no normal precipitous filter

Moti Gitik^*, Liad Tal

^*Corresponding author for this work

School of Mathematical Sciences

Tel Aviv University

Research output: Contribution to journal › Article › peer-review

Abstract

We consider a question of T. Jech and K. Prikry that asks if the existence of a precipitous filter implies the existence of a normal precipitous filter. The aim of this paper is to improve a result of Gitik (Israel J Math, 175:191-219, 2010) and to show that measurable cardinals of a higher order rather than just measurable cardinals are necessary in order to have a model with a precipitous filter but without a normal one.

Original language	English
Pages (from-to)	223-243
Number of pages	21
Journal	Archive for Mathematical Logic
Volume	50
Issue number	1-2
DOIs	https://doi.org/10.1007/s00153-010-0211-x
State	Published - Feb 2011

Keywords

Generic ultrapowers
Precipitous ideals
Well foundedness

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On the strength of no normal precipitous filter

Abstract

Keywords

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