In virtual equipments with mild assumptions, presheaf constructions provide free cocompletions under classes of weights, extending weighted colimits and enabling constructions for enriched categories in monoidal categories and bicategories.
[BC82] Renato Betti and Aurelio Carboni
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2026 1verdicts
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Presheaves and cocompletions in formal category theory
In virtual equipments with mild assumptions, presheaf constructions provide free cocompletions under classes of weights, extending weighted colimits and enabling constructions for enriched categories in monoidal categories and bicategories.