Injective Hulls of Quantale-Enriched Multicategories

Abstract

In this communication we generalize some recent results of Rump to categories enriched in a commutative quantale V. Using these results, we show that every quantale-enriched multicategory admits an injective hull. Finally, we expose a connection between the Isbell adjunction and the construction of injective hulls for topological spaces made by Banaschewski in 1973.

42 pages, Appl Categor Struct (2021)

References in corpus (2)

• Categorical structures enriched in a quantaloid: categories, distributors and functors
• Relative injectivity as cocompleteness for a class of distributors