March 7
Tom Benhamou,
Rutgers University
Ultrafilters on measurables and non-measurables: discrepancies and techniques
We present new results regarding the depth and Tukey spectrum of general ultrafilters and simple
$P_\lambda$-points at a measurable cardinal. In particular we prove that on a measurable cardinal there can only be a single $\lambda$ for which there exists a simple $P_\lambda$-point - this is in sharp contrast to $\omega$. Finally we will present several models in which we analyze the depth and Tukey spectrum of an ultrafilter, and their effect on generalized cardinal characteristics.