| Time: | 12 - 1:20 p.m. |
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| Room: |
WH 5304
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| Speaker: | Dima Sinapova Department of Mathematics University of California, Los Angeles |
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| Title: | A Cardinal preserving extension making the set of points of countable V cofinality nonstationary |
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| 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). |