Definition:Direct Limit

From ProofWiki
(Redirected from Definition:Directed Colimit)
Jump to navigation Jump to search


Let $\mathbf C$ be a category.

Let $I$ be a directed ordered set.

Let $\mathbf I$ be the order category of $I$.

Let $D : \mathbf I \to \mathbf C$ be a diagram.

The direct limit of $D$ is the colimit of the diagram $D$.

Also known as

A direct limit is also known as an inductive limit or directed colimit.

Also see