universal property

English

Noun

universal property (plural universal properties)

1. (mathematics) The property of there being a unique morphism from an arbitrary object to the universal morphism of a comma category which is from a functor to a fixed object; or, dually, the property of there being a unique morphism from the universal morphism to an arbitrary object of a comma category which is from a fixed object to a functor. (Caveat: the uniqueness is up to isomorphism.)

Translations

Translations

• German: universelle Eigenschaft f
• Russian: универсальное свойство n (universalʹnoje svojstvo)