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ON THE SPLITTING NUMBER AT REGULAR CARDINALS

  • OMER BEN-NERIA (a1) and MOTI GITIK (a2)
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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The Journal of Symbolic Logic
  • ISSN: 0022-4812
  • EISSN: 1943-5886
  • URL: /core/journals/journal-of-symbolic-logic
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