"universal property" meaning in All languages combined

See universal property on Wiktionary

Noun [English]

Forms: universal properties [plural]
Head templates: {{en-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.) Wikipedia link: universal property Categories (topical): Category theory, Logic, Mathematics Translations (Translations): universelle Eigenschaft [feminine] (German), универсальное свойство [neuter] (Russian)

Inflected forms

Download JSON data for universal property meaning in All languages combined (2.8kB)

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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-06 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.