Definition:Category of Cocones

Definition
Let $\mathbf C$ be a metacategory.

Let $D: \mathbf J \to \mathbf C$ be a $\mathbf J$-diagram in $\mathbf C$.

The category of cocones from $D$, denoted $\mathbf{Cocone} \left({D}\right)$, is defined as follows:

By Category of Cocones is Category, it is in fact a category.

Also see

 * Category of Cones
 * Colimit