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Universal property

In mathematics, more specifically in category theory, a universal property is a property that characterizes up to an isomorphism the result of some constructions. Thus, universal properties can be used for defining some objects independently from the method chosen for constructing them. For example, the definitions of the integers from the natural…

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Universal property

Nodes77
Edges76
Triples13
Avg. degree1.97
Density0.025974
Components1

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Universal property

Top relations

related to Motivation · 8
Universal property → Before, By, For, Furthermore, Proofs, The, Therefore, Universal
related to Relation to adjoint functors · 4
Universal property → By, If, Suppose, The
is a · 1
Universal property → property that characterizes up to an isomorphism the result of some constructions

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Important terminology

universal displaystyle morphism mathcal category functor object properties property constructions objects unique categories theory isbn functors mathematics morphisms one defined

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Universal propertyis aproperty that characterizes up to an isomorphism the result of some constructions0.90text
Universal propertyrelated to MotivationBefore0.60section
Universal propertyrelated to MotivationThe0.60section
Universal propertyrelated to MotivationProofs0.60section
Universal propertyrelated to MotivationFor0.60section
Universal propertyrelated to MotivationUniversal0.60section
Universal propertyrelated to MotivationTherefore0.60section
Universal propertyrelated to MotivationFurthermore0.60section
Universal propertyrelated to MotivationBy0.60section
Universal propertyrelated to Relation to adjoint functorsSuppose0.60section
Universal propertyrelated to Relation to adjoint functorsBy0.60section
Universal propertyrelated to Relation to adjoint functorsIf0.60section

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