OCT#DEF. Continuous Ordinal Sequence.
Let $\gamma$ be an increasing $\alpha$-sequence of ordinals. $\gamma$ is continuous if for every limit ordinal $\beta<\alpha$,
\[\lim_{\xi\to\beta}\gamma_\xi = \gamma_\beta.\]
OCT#DEF. Continuous Ordinal Sequence.
Let $\gamma$ be an increasing $\alpha$-sequence of ordinals. $\gamma$ is continuous if for every limit ordinal $\beta<\alpha$,
\[\lim_{\xi\to\beta}\gamma_\xi = \gamma_\beta.\]