1 research outputs found
On Singular Stationarity II (tight stationarity and extenders-based methods)
We study the notion of tightly stationary sets which was introduced by
Foreman and Magidor in \cite{ForMag-MS}. We obtain two consistency results
which show that it is possible for a sequence of regular cardinals to have the property that for every sequence , of some
fixed-cofinality stationary sets , is tightly
stationary in a generic extension. The results are obtained using variations of
the short-extenders forcing method