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Discrete category
Collection
| definiendum | ${\bf C}$ in $\mathrm{it}$ |
| exists | $\langle F,G\rangle$ … 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 ${\bf n}$.
Reference
nLab: Discrete category
Wikipedia: Discrete category
Parents
Requirements
