Local saturation of the nonstationary ideals

22.03.2018 15:00 - 16:30

M. B. Eskew (U Wien)

It is consistent relative to a huge cardinal that for all successor cardinals \(\kappa\), there is a stationary \(S \subseteq \kappa\) such that the nonstationary ideal on \(\kappa\) restricted to \(S\) is \(\kappa^+\)-saturated. We will describe the construction of the model, focusing how to get this property on all \(\aleph_n\) simultaneously. Time permitting, we will also briefly discuss the Prikry-type forcing that extends this up to \(\aleph_{\omega+1}\).

Organiser:

KGRC

Location:
SR 101, 2. St., Währinger Str. 25