Definition:Inverse Image Mapping

Definition
Let $S$ and $T$ be sets.

Let $\powerset S$ and $\powerset T$ be their power sets.

Relation
Let $\mathcal R \subseteq S \times T$ be a relation on $S \times T$.

Mapping
Let $f: S \to T$ be a mapping.

Also see

 * Definition:Direct Image Mapping
 * Definition:Power Set Functor