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ON THE SPLITTING NUMBER AT REGULAR CARDINALS
Published online by Cambridge University Press: 22 December 2015
Abstract
Let κ, 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 with s(κ) = λ starting from a ground model in which o(κ) = λ and prove that assuming ¬0¶, s(κ) = λ implies that o(κ) ≥ λ in the core model.
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- Copyright © The Association for Symbolic Logic 2015
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