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

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
Keywords Generic ultrapowers  Precipitous ideals  Well foundedness
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DOI 10.1007/s00153-010-0211-x
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References found in this work BETA

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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Citations of this work BETA

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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