On the strength of no normal precipitous filter

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Archive for Mathematical Logic 50 (1-2):223-243 (2011)
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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.

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10.1007/s00153-010-0211-x

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Citations of this work

A model with a precipitous ideal, but no normal precipitous ideal.Moti Gitik - 2013 - Journal of Mathematical Logic 13 (1):1250008.

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References found in this work

Collapsing functions.Ernest Schimmerling & Boban Velickovic - 2004 - Mathematical Logic Quarterly 50 (1):3-8.
On almost precipitous ideals.Asaf Ferber & Moti Gitik - 2010 - Archive for Mathematical Logic 49 (3):301-328.

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