Word.ws English Dictionary

cocompletion

cocompletion noun: 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.

Noun

cocompletion (plural cocompletions)

  1. 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

Forms of cocompletion

pluralcocompletions

Origin of cocompletion

From co- + completion.

Questions about cocompletion

What does cocompletion mean?
Cocompletion means 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.
What part of speech is cocompletion?
Cocompletion is a noun.
What is the plural of cocompletion?
The plural of cocompletion is cocompletions.

Words near cocompletion in the dictionary

  1. cocompact
  2. cocompactly
  3. cocompactness
  4. cocomplete
  5. cocompleteness
  6. cocompletion
  7. cocompletions
  8. cocompose
  9. cocomposed
  10. cocomposer
  11. cocomposers

Source and license

Adapted from Wiktionary: cocompletion (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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