nLab
weak colimit

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Category theory

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Universal constructions

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Idea

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.

Created on August 23, 2018 at 01:24:07. See the history of this page for a list of all contributions to it.