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JSYML
2008

Some pathological examples of precipitous ideals

13 years 11 months ago
Some pathological examples of precipitous ideals
We construct a model with an indecisive precipitous ideal and a model with a precipitous ideal with a non precipitous normal ideal below it. Such kind of examples were previously given by M. Foreman [1] and R. Laver [4] respectively. The present examples differ in two ways: first- they use only a measurable cardinal and second- the ideals are over a cardinal. Also a precipitous ideal without a normal ideal below it is constructed. It is shown in addition that if there is a precipitous ideal over a cardinal such that
Moti Gitik
Added 13 Dec 2010
Updated 13 Dec 2010
Type Journal
Year 2008
Where JSYML
Authors Moti Gitik
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