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On the Splitting Number at Regular Cardinals
release_zh2wdc7hcjfnvf7ffhv76qd22y
by
Omer Ben-Neria, Moti Gitik
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2014
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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1408.2839v1
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