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Categoricity of theories in L_{kappa, omega}, when kappa is a measurable cardinal. Part 1

By Oren Kolman and Saharon Shelah

Abstract

We assume a theory T in the logic L_{kappa omega} is categorical in a cardinal lambda >= kappa, and kappa is a measurable cardinal. Here we prove that the class of model of T of cardinality = |T|+ kappa) has the amalgamation property; this is a step toward understanding the character of such classes of models

Topics: Mathematics - Logic
Year: 1996
OAI identifier: oai:arXiv.org:math/9602216

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