universal property

noun

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.)

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Meanings

noununiversal property (plural universal properties)

plural universal properties

  1. mathematicsThe 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

German universelle Eigenschaft
  • universelle EigenschaftTranslations
Russian универсальное свойство
  • универсальное свойство (universalʹnoje svojstvo)Translations
Cite this entry
APA

universal property. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/universal%20property

MLA

“universal property.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/universal%20property. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “universal property,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/universal%20property.

Source: universal property on Wiktionary, CC BY-SA 4.0.