Definition:Limit Superior of Sequence of Sets/Notation

Definition
Let $\set {E_n : n \in \N}$ be a sequence of sets.

The limit superior of $E_n$ can also be seen denoted as:
 * $\ds \underset {n \mathop \to \infty} {\overline \lim} E_n$

but this notation is not used on.

Some sources merely present this as:
 * $\ds \overline \lim E_n$

The abbreviated notation $E^*$ can also be seen.