|Time:|| 12 - 1:20 p.m.
Department of Mathematics
University of California, Los Angeles
|Title:||A Cardinal preserving extension making the set of points of countable V cofinality nonstationary||
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).