Definition:Stability (Model Theory)/Kappa-Stable Theory
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Let $\kappa$ be an infinite cardinal.
$T$ is $\kappa$-stable if and only if:
- for all $n \in \N$
Also denoted as
Despite $\omega$ usually being used to denote the smallest infinite ordinal, $\aleph_0$-stable is usually written as $\omega$-stable.