Speaker: 

Monroe Eskew

Institution: 

UCI

Time: 

Monday, January 27, 2014 - 4:00pm to 5:30pm

Host: 

Location: 

RH 440R

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.