Enriched category

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:defines A category whose hom-objects are objects in a monoidal category, rather than just sets.
gptkbp:example Metric space (as enriched over [0,∞])
Preadditive category
Topological category
gptkbp:field Category theory
gptkbp:generalizes Category
gptkbp:hasComponent Objects
Identity morphisms
Composition morphisms
Hom-objects
https://www.w3.org/2000/01/rdf-schema#label Enriched category
gptkbp:introduced Eilenberg and Kelly
gptkbp:introducedIn 1966
gptkbp:relatedTo gptkb:Monoidal_category
Category
gptkbp:requires gptkb:Monoidal_category
gptkbp:seeAlso 2-category
Internal category
gptkbp:usedIn gptkb:Mathematics
gptkb:Theoretical_computer_science
gptkbp:bfsParent gptkb:Monoidal_category
gptkbp:bfsLayer 7