Categoricity and Universal Classes

Tapani Hyttinen, Kaisa Kangas

Let $(\mathcal{K},\subseteq )$ be a universal class with $LS(\mathcal{K})=\lambda$ categorical in regular $\kappa >{\lambda }^{+}$ with arbitrarily large models, and let ${\mathcal{K}}^{\ast }$ be the class of…