Monroe Eskew: Clubs, diamonds, and saturated ideals

Speaker: Monroe Eskew
Time: Mon, 01/27/2014 – 4:00pm – 5:30pm
Location: RH 440R

Title: Clubs, diamonds, and saturated ideals

Abstract: We will present two different ways to generically add a club subset of a successor cardinal, under some GCH. The first one is designed to destroy a given stationary set, and we show that it also forces diamond. The second adds a club with “small” conditions and destroys saturated ideals. We will discuss the open problem of whether this can be done without any cardinal arithmetic assumptions.

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