## Discrete category

### Collection

 definiendum ${\bf C}$ in $\mathrm{it}$ exists $F$ … equivalence of categories $({\bf C}, {\bf D})$ for all $f:\mathrm{Mor}_{\bf D}$ exists $A\in{\bf D}$ postulate $f=1_A$

### Discussion

#### Idea

A discrete category either has no non-identity arrows or at least is equivalent to such a category.

#### Terminology

The discrete categories with $n$ objects are denoted ${\bf n}$.