# 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.
• 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.
• Version 1998-12-05_10 (40p) 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}
}