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Coproduct . category theory
Collection
context | $F:\mathrm{Ob}_{{\bf C}^{\bf 2}}$ |
range | $a,b:\mathrm{Ob}_{\bf 2}$ |
definition | $\langle Fa+Fb, [i_a,i_b]\rangle := \mathrm{colim}\,F$ |
Discussion
Elaboration
Similar to product . category theory, but $[i_a,i_b]$ denotes a functor with a sum type domain.
Reference
Wikipedia: Coproduct (category theory)