Definition 1. Let $\alpha$ be an ordinal and $\gamma$ be an increasing $\alpha$-sequence of ordinals. $\gamma$ is continuous if for every limit ordinal $\beta<\alpha$,
\[\lim_{\xi \to \beta} \gamma_\xi = \gamma_\beta.\]Pub Mar 06, 2026 Up Jun 10, 2026
Definition 1. Let $\alpha$ be an ordinal and $\gamma$ be an increasing $\alpha$-sequence of ordinals. $\gamma$ is continuous if for every limit ordinal $\beta<\alpha$,
\[\lim_{\xi \to \beta} \gamma_\xi = \gamma_\beta.\]