 Set-theoretic limit

For a sequence of sets, the limit superior of sets consists of points belonging to infinitely many members, while the lower limit consists of points belonging to every sufficiently late member. If the two sets coincide, their common value is the set-theoretic limit.

In mathematics, a set-theoretic limit is a concept used in the context of sequences of sets, particularly in topology and analysis. It provides a way to describe the behavior of a sequence of sets as the index approaches infinity.