Precipitous Towers of Normal Filters

Details Precipitous Towers of Normal Filters Precipitous Towers of Normal Filters

1995-03-22

arxiv.org/abs/math/9503209v1

Mathematics

Logic

Scientific paper

We prove that every tower of normal filters of height $\gd$ ($\gd$ supercompact) is precipitous assuming that each normal filter in the tower is the club filter restricted to a stationary set. We give an example to show that this assumption is necessary. We also prove that every normal filter can be generically extended to a well-founded $V$-ultrafilter (assuming large cardinals).

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