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On a question of Pereira

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Abstract

Answering a question of Pereira we show that it is possible to have a model violating the Singular Cardinal Hypothesis without a tree-like continuous scale.

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References

  1. Abraham, U., Magidor, M.: Cardinal arithmetic. In: Handbook of Set Theory (to appear)

  2. Gitik, M.: Prikry-type forcings. In: Handbook of Set Theory (to appear)

  3. Gitik, M., Magidor, M.: The singular cardinal hypothesis revisited. In: Set Theory of the Continuum, vol. 26, pp. 243–279. MSRI publications, Cambridge

  4. Pereira, L.: PhD Thesis, Paris (2007)

  5. Shelah S. (1994) Cardinal Arithmetic, Oxford Logic Guides, vol. 29. Oxford University Press, Oxford

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Authors and Affiliations

  1. School of Mathematical Sciences, Raymond and Beverly Sackler Faculty of Exact Science, Tel Aviv University, Ramat Aviv, 69978, Israel

    Moti Gitik

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  1. Moti Gitik
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Correspondence to Moti Gitik.

Additional information

We are grateful to Luis Pereira for asking an interesting question and his comments on the paper. We would like to thank to the referee of the paper for his comments and corrections.

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Gitik, M. On a question of Pereira. Arch. Math. Logic 47, 53–64 (2008). https://doi.org/10.1007/s00153-008-0070-x

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  • DOI: https://doi.org/10.1007/s00153-008-0070-x

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