Speaker: 
John Krueger Graduate Student Department of Mathematical Sciences Carnegie Mellon University 

Title: 
Destroying stationary sets, part I


Abstract: 
I will discuss a new forcing technique which I developed for destroying the stationarity of subsets of
$P_\kappa \kappa^+ = \{ a \subseteq \kappa^+ : a < \kappa \}$where $\kappa$ is weakly inaccessible. In order to destroy one stationary set while preserving the stationarity of another, it is necessary to "prepare" the ground model with a forcing iteration. However since the posets are not closed, the usual Easton support iteration does not work. Instead we use Gitik's Easton support Prikry iteration. I will describe these techniques and some of the problems which I solved using them.