cocompletion

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English

Etymology

From co- +‎ completion.

Noun

cocompletion (plural cocompletions)

  1. (mathematics) 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.
    • 2015, Rory B. B. Lucyshyn-Wright, “Enriched algebraic theories and monads for a system of arities”, in arXiv:
      We show that satisfies this condition if and only if presents as a free cocompletion of with respect to the weights for left Kan extensions along , and so we call such systems of arities eleutheric.