nLab weak colimit




A weak colimit for a diagram in a category is a cocone over that diagram which satisfies the existence property of a colimit but not necessarily the uniqueness. The dual concept is a weak limit, see there for more.

For example, a weakly initial object in a category, CC, is such that there is at least one arrow from it to any object in CC.


Weak adjoint functors along with weak colimits were defined in:

Last revised on November 1, 2022 at 12:53:00. See the history of this page for a list of all contributions to it.