cocompletion
nounEtymology From co- + completion.
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Mathematics, Sciences A full embedding whose image is a cocomplete category and for which every functor with a cocomplete image has an extension to a cocontinuous functor that is unique up to natural isomorphism.
- We show that j satisfies this condition if and only if j presents #92;mathcal#123;V#125; as a free cocompletion of #92;mathcal#123;J#125; with respect to the weights for left Kan extensions along j, and so we call such systems of arities eleutheric.2015, Rory B. B. Lucyshyn-Wright, “Enriched algebraic theories and monads for a system of arities”, in arXiv: