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  1. A model with a precipitous ideal, but no normal precipitous ideal.Moti Gitik - 2013 - Journal of Mathematical Logic 13 (1):1250008.
    Starting with a measurable cardinal κ of the Mitchell order κ++ we construct a model with a precipitous ideal on ℵ1 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 ℵ1, i. e. those isomorphic to extensions of Cubℵ1.
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