### Middle Diamond

by Shelah. [Sh:775]

Archive for Math Logic, 2005

Under some cardinal arithmetic assumptions, we prove that many
stationary subsets of lambda of a right cofinality has the
``middle diamond''. In particular, for many regular kappa for
every large enough regular lambda we have the middle diamond on
{delta < lambda : cf (delta)= kappa} . This is a strong
negation of uniformization.

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