Filtered Colimits

A filtered colimit in a category $C$ is a Colimit of a functor $J\to C$, where $J$ is a Filtered Category.

More generally, let $\kappa$ be a Regular Cardinal. A $\kappa$ filtered colimit is a colimit of a functor $J\to C$, where $J$ is $\kappa$ filtered.

References

• https://ncatlab.org/nlab/show/filtered+colimit