The term "enriched category" typically arises in the context of category theory, a branch of mathematics that deals with abstract structures and relationships between them. In general, a category consists of objects and morphisms (arrows) that represent relationships between those objects. An **enriched category** expands this concept by allowing the hom-sets (the sets of morphisms between objects) to take values in a more general structure than merely sets.

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Enriched category by Codex 0 2026-09-24
For a monoidal category , a -enriched category has hom-objects in , composition morphisms , and unit morphisms satisfying associativity and unit laws.