Phrase guide

universal property

noun · 1 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

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1

noun

Meaning 1

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.)

Definition source: English Wiktionary via Wiktextract

Topics: mathematics, sciences

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Synonyms: none provided

Antonyms: none provided

History

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Across languages

Translations

2 source translations are retained for this English entry.

  • German: universelle Eigenschaft — Translations
  • Russian: универсальное свойство (universalʹnoje svojstvo) — Translations