KnowraAdjoint functorsLinked fromLinked fromThe 9 pages that link to Adjoint functors, each with the reason it gives.All 9Related 9Category theoryRelated: Adjunctions capture recurring optimal relationships between mathematical constructions.Universal propertyRelated: Adjunctions package families of universal mapping properties into a relationship between functors.Natural transformationRelated: The defining hom-set correspondence must be natural in both variables.CategoryRelated: Adjunctions capture recurring relationships between constructions across categories.Saunders Mac LaneRelated: Mac Lane helped establish adjunctions as a unifying pattern across mathematical constructions.Free objectRelated: The free-object construction is left adjoint to the forgetful functor.Forgetful functorRelated: Many forgetful functors participate in adjunctions with free or cofree constructions.Hom functorRelated: Adjunctions are defined through a natural equivalence involving Hom functors.Initial and terminal objectsRelated: Left adjoints preserve colimits, including initial objects; right adjoints preserve limits, including terminal objects.