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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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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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