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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.

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Authors and Affiliations

  1. School of Mathematical Sciences, Tel Aviv University, Ramat Aviv, Tel Aviv, 69978, Israel

    Moti Gitik

  2. Department of Mathematics, University of California at Los Angeles, Los Angeles, CA, 90095-1555, USA

    Itay Neeman & Dima Sinapova

Authors
  1. Moti Gitik
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  2. Itay Neeman
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  3. Dima Sinapova
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Correspondence to Moti Gitik.

Additional information

This material is based upon work supported by the National Science Foundation under Grant no. DMS-0094174.

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Gitik, M., Neeman, I. & Sinapova, D. A cardinal preserving extension making the set of points of countable V cofinality nonstationary. Arch. Math. Logic 46, 451–456 (2007). https://doi.org/10.1007/s00153-007-0048-0

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  • DOI: https://doi.org/10.1007/s00153-007-0048-0

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