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Pronunciation varies by accent · noun
(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..
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.
Use cocompletion when its meaning, tone and grammar fit the full sentence. A synonym is not always a direct replacement.
Cocompletion means (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..
The closest synonym depends on the sentence and intended sense.
The opposite depends on the specific sense.
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.
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