Time:  12  1:20 p.m. 

Room: 
WH 5304


Speaker:  Dima Sinapova Department of Mathematics University of California, Los Angeles 

Title:  A Cardinal preserving extension making the set of points of countable V cofinality nonstationary 

Abstract: 
Assuming large cardinals we produce a forcing extension of V
which preserves cardinals, does not add reals, and makes the set
of points of countable V cofinality in κ^{+} nonstationary.
Continuing to force further, we obtain an extension in which the
set of points of countable V cofinality in ν is
nonstationary for every regular ν ≥ κ^{+}.
Finally we show
that our large cardinal assumption is optimal.
The talk is based on a recent paper by Gitik, Neeman and Sinapova (PDF). 