In category theory, a branch of mathematics, an enriched category generalizes the idea of a locally small category by replacing hom-sets with objects from a general monoidal category. It is motivated by the observation that, in many practical applications, the hom-set often has additional structure that should be respected, e.g., that of being a vector space of morphisms, or a topological space of morphisms.
In category theory, a branch of mathematics, an enriched category generalizes the idea of a locally small category by replacing hom-sets with objects from a general monoidal category. It is motivated by the observation that, in many practical applications, the hom-set often has additional structure that should be respected, e.g., that of being a vector space of morphisms, or a topological space of morphisms.
Source: Wikipedia "Enriched category" · CC BY-SA 4.0
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