# Definition:Discrete Category

## Definition

Let $\CC$ be a metacategory.

Then $\CC$ is said to be discrete if and only if it comprises only identity morphisms.

If the collection $\CC$ constitutes the objects of $\mathbf C$, then $\mathbf C$ may also be denoted $\map {\mathbf {Dis} } \CC$.

## Also see

• Results about discrete categories can be found here.