Existence of almost free abelian groups and reflection of stationary set

Abstract

section 2: We answer a question of Mekler Eklof on the closure operations of the incompactness spectrum. We answer a question of Foreman and Magidor on reflection of stationary subsets of S< aleph2(lambda) = a subseteq lambda : |a| < aleph2]. section 3 - NPT is not transitive. We prove NPT(lambda, mu) + NPT(mu, kappa) not => NPT(lambda, kappa)

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