"functor category" meaning in All languages combined

See functor category on Wiktionary

Noun [English]

Forms: functor categories [plural]
Head templates: {{en-noun}} functor category (plural functor categories)
  1. (category theory) A category whose objects are functors (from some fixed given domain category to some fixed given codomain category) and whose morphisms are natural transformations. Wikipedia link: functor category Categories (topical): Category theory

Inflected forms

{
  "forms": [
    {
      "form": "functor categories",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "functor category (plural functor categories)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Category theory",
          "orig": "en:Category theory",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A category whose objects are functors (from some fixed given domain category to some fixed given codomain category) and whose morphisms are natural transformations."
      ],
      "id": "en-functor_category-en-noun-EWJVC4oS",
      "links": [
        [
          "category theory",
          "category theory"
        ],
        [
          "functor",
          "functor"
        ],
        [
          "natural transformation",
          "natural transformation"
        ]
      ],
      "raw_glosses": [
        "(category theory) A category whose objects are functors (from some fixed given domain category to some fixed given codomain category) and whose morphisms are natural transformations."
      ],
      "topics": [
        "category-theory",
        "computing",
        "engineering",
        "mathematics",
        "natural-sciences",
        "physical-sciences",
        "sciences"
      ],
      "wikipedia": [
        "functor category"
      ]
    }
  ],
  "word": "functor category"
}
{
  "forms": [
    {
      "form": "functor categories",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "functor category (plural functor categories)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Category theory"
      ],
      "glosses": [
        "A category whose objects are functors (from some fixed given domain category to some fixed given codomain category) and whose morphisms are natural transformations."
      ],
      "links": [
        [
          "category theory",
          "category theory"
        ],
        [
          "functor",
          "functor"
        ],
        [
          "natural transformation",
          "natural transformation"
        ]
      ],
      "raw_glosses": [
        "(category theory) A category whose objects are functors (from some fixed given domain category to some fixed given codomain category) and whose morphisms are natural transformations."
      ],
      "topics": [
        "category-theory",
        "computing",
        "engineering",
        "mathematics",
        "natural-sciences",
        "physical-sciences",
        "sciences"
      ],
      "wikipedia": [
        "functor category"
      ]
    }
  ],
  "word": "functor category"
}

Download raw JSONL data for functor category meaning in All languages combined (1.1kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-21 from the enwiktionary dump dated 2024-12-04 using wiktextract (d8cb2f3 and 4e554ae). 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.