Middle diamond

Archive for Mathematical Logic 44 (5):527-560 (2005)
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Abstract

Under certain cardinal arithmetic assumptions, we prove that for every large enough regular λ cardinal, for many regular κ < λ, many stationary subsets of λ concentrating on cofinality κ has the “middle diamond”. In particular, we have the middle diamond on {δ < λ: cf(δ) = κ}. This is a strong negation of uniformization.

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10.1007/s00153-004-0239-x

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References found in this work

Reflecting stationary sets and successors of singular cardinals.Saharon Shelah - 1991 - Archive for Mathematical Logic 31 (1):25-53.
Higher Souslin trees and the generalized continuum hypothesis.John Gregory - 1976 - Journal of Symbolic Logic 41 (3):663-671.
Applications of PCF theory.Saharon Shelah - 2000 - Journal of Symbolic Logic 65 (4):1624-1674.
More on cardinal arithmetic.Saharon Shelah - 1993 - Archive for Mathematical Logic 32 (6):399-428.
More on the weak diamond.Saharon Shelah - 1985 - Annals of Pure and Applied Logic 28 (3):315-318.

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