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paper

Categoricity of theories in L_{kappa^* omega}, when kappa^* is a measurable cardinal. Part II

arXiv:math/9604241

Abstract

We continue the work of [KlSh:362] and prove that for lambda successor, a lambda-categorical theory T in L_{kappa^*, omega} is mu-categorical for every mu, mu <= lambda which is above the (2^{LS(T)})^+-beth cardinal.