Definition:Categorical (Model Theory)
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Definition
Let $T$ be an $\LL$-theory.
Let $\kappa$ be a cardinal.
$T$ is $\kappa$-categorical if whenever $\MM$ and $\NN$ are models of $T$ of cardinality $\kappa$, then $\MM$ and $\NN$ are isomorphic.
Sources
- 1972: A.G. Howson: A Handbook of Terms used in Algebra and Analysis ... (previous) ... (next): $\S 1$: Some mathematical language: Axiom systems