coproduct_._category

Coproduct . category theory

context	$F:\mathrm{Ob}_{{\bf C}^{\bf 2}}$
range	$a,b:\mathrm{Ob}_{\bf 2}$
definition	$\langle Fa+Fb, [i_a,i_b]\rangle := \mathrm{colim}\,F$

Similar to product, but $[i_a,i_b]$ denotes a functor with a sum type domain.