# Definition:Direct Limit

(Redirected from Definition:Directed Colimit)

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## Definition

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

## Sources

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