# Sh:362

- Kolman, O., & Shelah, S. (1996).
*Categoricity of theories in L_{\kappa\omega}, when \kappa is a measurable cardinal. I*. Fund. Math.,**151**(3), 209–240. arXiv: math/9602216 MR: 1424575 -
Abstract:

We assume a theory T in the logic L_{\kappa \omega} is categorical in a cardinal \lambda\geq \kappa, and \kappa is a measurable cardinal. Here we prove that the class of model of T of cardinality < \lambda (but \geq |T|+\kappa) has the amalgamation property; this is a step toward understanding the character of such classes of models. - published version (32p)

Bib entry

@article{Sh:362, author = {Kolman, Oren and Shelah, Saharon}, title = {{Categoricity of theories in $L_{\kappa\omega}$, when $\kappa$ is a measurable cardinal. I}}, journal = {Fund. Math.}, fjournal = {Fundamenta Mathematicae}, volume = {151}, number = {3}, year = {1996}, pages = {209--240}, issn = {0016-2736}, mrnumber = {1424575}, mrclass = {03C75 (03C35)}, note = {\href{https://arxiv.org/abs/math/9602216}{arXiv: math/9602216}}, arxiv_number = {math/9602216} }