Continuous function (set theory)

In set theory, a continuous function is a sequence of ordinals such that the values assumed at limit stages are the limits (limit suprema and limit infima) of all values at previous stages. More formally, let γ be an ordinal, and s := ⟨ s α | α < γ ⟩ {\displaystyle s:=\langle s_{\alpha }|\alpha <\gamma \rangle } be a γ-sequence of ordinals.

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