Definition:Discrete Category

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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.