In
mathematics, specifically
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
![](http://info.babylon.com/onlinebox.cgi?rt=GetFile&uri=!!ARV6FUJ2JP&type=0&index=3996)
be a γ-sequence of ordinals. Then
s is continuous if at every limit ordinal β < γ,
![](http://info.babylon.com/onlinebox.cgi?rt=GetFile&uri=!!ARV6FUJ2JP&type=0&index=2077)