On the splitting number at regular cardinals

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Journal of Symbolic Logic 80 (4):1348-1360 (2015)
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Abstract

Letκ, λ be regular uncountable cardinals such that λ >κ+is not a successor of a singular cardinal of low cofinality. We construct a generic extension withs = λ starting from a ground model in whicho = λ and prove that assuming ¬0¶,s = λ implies thato ≥ λ in the core model.

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10.1017/jsl.2015.22

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The strenght of the failure of the singular cardinal hypothesis.Moti Gitik - 1991 - Annals of Pure and Applied Logic 51 (3):215-240.
On measurable cardinals violating the continuum hypothesis.Moti Gitik - 1993 - Annals of Pure and Applied Logic 63 (3):227-240.

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