"subfunctor" meaning in All languages combined

See subfunctor on Wiktionary

Noun [English]

Forms: subfunctors [plural]
Etymology: From sub- + functor. Etymology templates: {{prefix|en|sub|functor}} sub- + functor Head templates: {{en-noun}} subfunctor (plural subfunctors)
  1. (category theory) A functor such that all of the objects it maps are mapped by the parent functor, and for any arrow it maps the parent functor includes the same mapping (although it may also map arrows from the same domain to additional images outside the image of the subfunctor). Wikipedia link: subfunctor Categories (topical): Category theory

Inflected forms

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  "etymology_text": "From sub- + functor.",
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        {
          "ref": "2015, Serge Bouc, Jacques Thévenaz, “The representation theory of finite sets and correspondences”, in arXiv:",
          "text": "Also, if k is noetherian, then any subfunctor of a finitely generated functor is finitely generated.",
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        }
      ],
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        "(category theory) A functor such that all of the objects it maps are mapped by the parent functor, and for any arrow it maps the parent functor includes the same mapping (although it may also map arrows from the same domain to additional images outside the image of the subfunctor)."
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  ],
  "etymology_text": "From sub- + functor.",
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        "(category theory) A functor such that all of the objects it maps are mapped by the parent functor, and for any arrow it maps the parent functor includes the same mapping (although it may also map arrows from the same domain to additional images outside the image of the subfunctor)."
      ],
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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 2025-03-23 from the enwiktionary dump dated 2025-03-21 using wiktextract (fef8596 and 633533e). 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.