Categoricity and amalgamation for AEC and $\kappa$ measurable

Oren Kolman, Saharon Shelah

In the original version of this paper, we assume a theory $T$ that the logic ${\mathbb{L}}_{\kappa ,{\aleph }_0}$ is categorical in a cardinal $\lambda >\kappa$, and $\kappa$ is a measurable cardinal. Ther…