nLab
Understanding colimits in Set

Under Construction

See Understanding constructions in Set?

Colimits

colimits

Initial Object

The empty set is the initial object in Set.

Why?

Binary Coproducts

binary coproducts

Arbitray Small Coproducts

arbitrary (but small) coproducts

Coequalizers

coequalisers

Pushouts

pushouts

Cofibred Products

cofibred coproducts