Coproduct . category theory - Axioms of Choice

Processing math: 100%

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

Reference

Wikipedia: Coproduct (category theory)

Parents

Context

Refinement of

Colimit . category theory, Discrete category

Log In

Improvements of the human condition