Categoricity of theories in $L_{\kappa\omega}$, when $\kappa$ is a measurable cardinal. Part 1
Fundamenta Mathematicae, Tome 151 (1996) no. 3, pp. 209-240
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We assume a theory T in the logic $L_{κω}$ is categorical in a cardinal λ \≥ κ, and κ is a measurable cardinal. We prove that the class of models of T of cardinality λ (but ≥ |T|+κ) has the amalgamation property; this is a step toward understanding the character of such classes of models.
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author = {Saharon Shelah and Oren Kolman},
title = {Categoricity of theories in $L_{\kappa\omega}$, when $\kappa$ is a measurable cardinal. {Part} 1},
journal = {Fundamenta Mathematicae},
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Saharon Shelah; Oren Kolman. Categoricity of theories in $L_{\kappa\omega}$, when $\kappa$ is a measurable cardinal. Part 1. Fundamenta Mathematicae, Tome 151 (1996) no. 3, pp. 209-240. doi: 10.4064/fm_1996_151_3_1_209_240
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