KnowraMorphismLinked fromLinked fromThe 8 pages that link to Morphism, each with the reason it gives.All 8Broader topic 4Related 4Category theoryBroader topic: Morphisms encode the relationships whose composition organizes the theory.Universal propertyRelated: Universal properties specify how morphisms enter or leave the characterized object.CategoryBroader topic: Morphisms provide the arrows whose identities and composition complete the category axioms.Commutative diagramRelated: Each arrow represents a morphism whose composition can be compared with other paths.Opposite categoryBroader topic: Each morphism becomes a reversed arrow with its source and target exchanged.Forgetful functorRelated: A forgetful functor sends each structured map to a map in the less structured category.Hom functorRelated: The elements of each Hom-set are morphisms between its two specified objects.Initial and terminal objectsBroader topic: The unique arrows to or from an object are what its initial or terminal property specifies.