Non-saturation of the nonstationary ideal on P κ (λ) in case κ ≤ cf (λ) < λ
Abstract
Given a regular cardinal κ > ω 1 and a cardinal λ with κ ≤ cf (λ) < λ, we show that NS κ,λ | T is not λ+-saturated, where T is the set of all a∈Pκ(λ) such that |a|=|a∩κ| and cf(sup(a∩κ))=cf(sup(a))=ω.