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A model with a measurable which does not carry a normal measure

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Abstract

We construct a model of ZF in which there is a measurable cardinal but there is no normal ultrafilter over it.

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References

  1. Cummings J.: Iterated forcings and elementary embeddings. In: Foreman, M., Kanamori, A. (eds.) Handbook of Set Theory, pp. 775–884. Springer, Berlin (2010)

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  2. Jech T.: Set Theory, 3rd edn. Springer, Berlin (2002)

    Google Scholar 

  3. Jech T.: The Axiom of Choice. Dover Publications, INC., New York (2008)

    Google Scholar 

  4. Spector M.: A measurable cardinal with a nonwellfounded ultrapower. JSL 45(3), 623–628 (1980)

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Authors and Affiliations

  1. Tel Aviv, Israel

    Eilon Bilinsky & Moti Gitik

Authors
  1. Eilon Bilinsky
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  2. Moti Gitik
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Corresponding author

Correspondence to Moti Gitik.

Additional information

We like to thank to Ralf Schindler for asking us the question and to Arthur Apter for providing a related historical information. We are grateful to the referee of the paper for his suggestions and for a comprehensive list of corrections. The work was partly supported by ISF Grant 234/08.

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Bilinsky, E., Gitik, M. A model with a measurable which does not carry a normal measure. Arch. Math. Logic 51, 863–876 (2012). https://doi.org/10.1007/s00153-012-0302-y

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  • DOI: https://doi.org/10.1007/s00153-012-0302-y

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