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A cardinal preserving extension making the set of points of countable V cofinality nonstationary

Обложка книги A cardinal preserving extension making the set of points of countable V cofinality nonstationary

A cardinal preserving extension making the set of points of countable V cofinality nonstationary

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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.
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