Kappa-filtration
= Kappa-filtration
{title2=$(A_\alpha)_{\alpha<\kappa}$}
For a <set> $A$ of size an uncountable <regular cardinal> $\kappa$, an increasing sequence $(A_\alpha)_{\alpha<\kappa}$ with union $A$, each $|A_\alpha|<\kappa$, and $A_\delta=\bigcup_{\alpha<\delta}A_\alpha$ at every nonzero limit stage.