===== Coproduct . category theory =====
==== Collection ====
| @#55CCEE: context     | @#55CCEE: $F:\mathrm{Ob}_{{\bf C}^{\bf 2}}$ |
| @#DDDDDD: range | @#DDDDDD: $a,b:\mathrm{Ob}_{\bf 2}$ |
| @#FF9944: definition | @#FF9944: $\langle Fa+Fb, [i_a,i_b]\rangle := \mathrm{colim}\,F$ |

==== Discussion ====
=== Elaboration ===
Similar to [[product . category theory|product]], but $[i_a,i_b]$ denotes a functor with a [[sum type]] domain.
 
=== Reference ===
Wikipedia: [[http://en.wikipedia.org/wiki/Coroduct_%28category_theory%29|Coproduct (category theory)]]
==== Parents ====
=== Context ===
[[Functor]]
=== Refinement of ===
[[Colimit . category theory]], [[Discrete category]]
=== Related ===
[[Sum type]]