Monroe Eskew: Foreman’s Duality Theorem and Applications I

Speaker: Monroe Eskew
Institution: UCI
Time: Mon, 05/06/2013 – 4:00pm – 5:30pm
Location: RH 440R

We present a theorem of Foreman that allows an exact characterization of what happens to the structure of precipitous ideals after suitable forcing. This theorem unifies several well-known results, giving as them quick corollaries. We will use it to show: forcing precipitous ideals from large cardinals, preservation theorems of Kakuda and Baumgartner-Taylor, and Solovay’s consistency result on real-valued measurable cardinals. We will also show some new applications due to the speaker.

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