The set of maps from $A$ to $B$1 is the set $\mathsf{Sets}\webleft (A,B\webright )$2 whose elements are the functions from $A$ to $B$.
1Further Terminology: Also called the Hom set from $A$ to $B$.
2Further Notation: Also written $\textup{Hom}_{\mathsf{Sets}}\webleft (A,B\webright )$.
