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...thfrak{K}$, then a [[projective limit|limit]] of $F$ is an equaliser and a colimit of $F$ is a coequaliser.

...of an inductive limit is the notion of an inductive limit (direct limit or colimit) of a functor. An object $ A $ ...cted pre-ordered sets, the more general categorical concept being called a colimit. "Cokernels of pairs of morphisms" are commonly called coequalizers.

...is known as a ''localizing subcategory'' if it is closed with respect to [[colimit]]s and if, in an exact sequence

There is a competing terminology, with "direct limit" replaced by "colimit" , and "inverse limit" by "limit" .

...name "limit" is used for this concept (and the dual concept is called a colimit). The terms "inverse limit" and its dual, direct limit (or [[Inductive li

...oherence is closely linked with the notions of homotopy limit and homotopy colimit, cf. [[#References|[a3]]] and [[#References|[a4]]]. These two constructions

...<td valign="top">[a5]</td> <td valign="top"> R. Brown, P.J. Higgins, "Colimit theorems for relative homotopy groups" ''J. Pure Appl. Algebra'' , '''22''

...ve rise to the general categorical notion of limit (and the dual notion of colimit), which includes products as a special case (cf. [[Limit|Limit]] and [[Univ