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

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

1996-02-15

arxiv.org/abs/math/9602216v1

Fund. Math. 151 (1996), 209--240

Mathematics

Logic

Scientific paper

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 < lambda (but >= |T|+ kappa) has
the amalgamation property; this is a step toward understanding the character
of such classes of models.

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