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Strange ultrafilters

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Abstract

We deal with some natural properties of ultrafilters which trivially fail for normal ultrafilters.

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References

  1. Gitik, M.: Prikry type forcings. In: Foreman, M., Kanamori, A. (eds.) Handbook of Set Theory. Springer, Dordrecht (2010)

    Google Scholar 

  2. Gitik, M.: On Mitchell and Rudin-Keisler orderings of ultrafilters. Ann. Pure Appl. Log. 39, 175–197 (1988)

    Article  MathSciNet  MATH  Google Scholar 

  3. Gitik, M.: Some constructions of ultrafilters over a measurable cardinal (submitted)

  4. Jech, T.: Set Theory. Springer, Berlin, Heidelberg (2003)

    MATH  Google Scholar 

  5. Kanamori, A.: Ultrafilters over a measurable. Ann. Math. Log. 11, 315–356 (1976)

    Article  MathSciNet  MATH  Google Scholar 

  6. Kanamori, A.: The Higher Infinite. Springer, Berlin, Heidelberg (1994)

    MATH  Google Scholar 

  7. Mitchell, W.: The core model for sequences of measures I. Math. Proc. Cambridge Philos. Soc. 95(2), 229–260 (1984)

    Article  MathSciNet  MATH  Google Scholar 

  8. Mitchell, W.: Core models. In: Foreman, M., Kanamori, A. (eds.) Handbook of Set Theory. Springer, Dordrecht (2010)

    Google Scholar 

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Authors and Affiliations

  1. Tel Aviv University, Tel Aviv, Israel

    Moti Gitik

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  1. Moti Gitik
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Correspondence to Moti Gitik.

Additional information

The work was partially supported by Israel Science Foundation Grant No. 58/14. We are grateful to Eilon Bilinski who drew our attention to the subject, to Tom Benhamou and Eyal Kaplan for stimulating questions and discussions and to the referee of the paper for his corrections and suggestions.

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Gitik, M. Strange ultrafilters. Arch. Math. Logic 58, 35–52 (2019). https://doi.org/10.1007/s00153-018-0620-9

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  • DOI: https://doi.org/10.1007/s00153-018-0620-9

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