By Moti Gitik, Itay Neeman, Dima Sinapova
Assuming huge cardinals we produce a forcing extension of V which preserves cardinals, doesn't upload reals, and makes the set of issues of countable V cofinality in κ+ nonstationary. carrying on with to strength extra, we receive an extension within which the set of issues of countable V cofinality in ν is nonstationary for each normal ν ≥ κ+. ultimately we exhibit that our huge cardinal assumption is perfect.
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A cardinal preserving extension making the set of points of countable V cofinality nonstationary by Moti Gitik, Itay Neeman, Dima Sinapova