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On certain indestructibility of strong cardinals and a question of Hajnal

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Abstract

A model in which strongness ofκ is indestructible under κ+ -weakly closed forcing notions satisfying the Prikry condition is constructed. This is applied to solve a question of Hajnal on the number of elements of {λ δ|2δ<λ}.

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Authors and Affiliations

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

    Moti Gitik

  2. Department of Mathematics, Hebrew University of Jerusalem, Jerusalem, Israel

    Saharon Shelah

Authors
  1. Moti Gitik
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  2. Saharon Shelah
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Gitik, M., Shelah, S. On certain indestructibility of strong cardinals and a question of Hajnal. Arch Math Logic 28, 35–42 (1989). https://doi.org/10.1007/BF01624081

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  • DOI: https://doi.org/10.1007/BF01624081

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