"small category" meaning in All languages combined

See small category on Wiktionary

Noun [English]

Forms: small categories [plural]
Head templates: {{en-noun}} small category (plural small categories)
  1. (category theory) A category such that all of its objects form a set and all of its morphisms form a set. Hypernyms: locally small category Translations (in category theory): pieni kategoria (Finnish), petite catégorie [feminine] (French), kleine Kategorie [feminine] (German), categoria piccola [feminine] (Italian), categoria pequena [feminine] (Portuguese)

Inflected forms

{
  "antonyms": [
    {
      "word": "large category"
    }
  ],
  "forms": [
    {
      "form": "small categories",
      "tags": [
        "plural"
      ]
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  "head_templates": [
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      "args": {},
      "expansion": "small category (plural small categories)",
      "name": "en-noun"
    }
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [],
          "source": "w"
        },
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          "source": "w"
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        },
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        },
        {
          "kind": "other",
          "langcode": "en",
          "name": "Category theory",
          "orig": "en:Category theory",
          "parents": [],
          "source": "w"
        }
      ],
      "glosses": [
        "A category such that all of its objects form a set and all of its morphisms form a set."
      ],
      "hypernyms": [
        {
          "word": "locally small category"
        }
      ],
      "id": "en-small_category-en-noun-PilLkXGn",
      "links": [
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          "category theory"
        ]
      ],
      "raw_glosses": [
        "(category theory) A category such that all of its objects form a set and all of its morphisms form a set."
      ],
      "topics": [
        "category-theory",
        "computing",
        "engineering",
        "mathematics",
        "natural-sciences",
        "physical-sciences",
        "sciences"
      ],
      "translations": [
        {
          "code": "fi",
          "lang": "Finnish",
          "lang_code": "fi",
          "sense": "in category theory",
          "word": "pieni kategoria"
        },
        {
          "code": "fr",
          "lang": "French",
          "lang_code": "fr",
          "sense": "in category theory",
          "tags": [
            "feminine"
          ],
          "word": "petite catégorie"
        },
        {
          "code": "de",
          "lang": "German",
          "lang_code": "de",
          "sense": "in category theory",
          "tags": [
            "feminine"
          ],
          "word": "kleine Kategorie"
        },
        {
          "code": "it",
          "lang": "Italian",
          "lang_code": "it",
          "sense": "in category theory",
          "tags": [
            "feminine"
          ],
          "word": "categoria piccola"
        },
        {
          "code": "pt",
          "lang": "Portuguese",
          "lang_code": "pt",
          "sense": "in category theory",
          "tags": [
            "feminine"
          ],
          "word": "categoria pequena"
        }
      ]
    }
  ],
  "word": "small category"
}
{
  "antonyms": [
    {
      "word": "large category"
    }
  ],
  "forms": [
    {
      "form": "small categories",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "small category (plural small categories)",
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  ],
  "lang": "English",
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        "Terms with French translations",
        "Terms with German translations",
        "Terms with Italian translations",
        "Terms with Portuguese translations",
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      ],
      "glosses": [
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      ],
      "links": [
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        ]
      ],
      "raw_glosses": [
        "(category theory) A category such that all of its objects form a set and all of its morphisms form a set."
      ],
      "topics": [
        "category-theory",
        "computing",
        "engineering",
        "mathematics",
        "natural-sciences",
        "physical-sciences",
        "sciences"
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    }
  ],
  "translations": [
    {
      "code": "fi",
      "lang": "Finnish",
      "lang_code": "fi",
      "sense": "in category theory",
      "word": "pieni kategoria"
    },
    {
      "code": "fr",
      "lang": "French",
      "lang_code": "fr",
      "sense": "in category theory",
      "tags": [
        "feminine"
      ],
      "word": "petite catégorie"
    },
    {
      "code": "de",
      "lang": "German",
      "lang_code": "de",
      "sense": "in category theory",
      "tags": [
        "feminine"
      ],
      "word": "kleine Kategorie"
    },
    {
      "code": "it",
      "lang": "Italian",
      "lang_code": "it",
      "sense": "in category theory",
      "tags": [
        "feminine"
      ],
      "word": "categoria piccola"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "lang_code": "pt",
      "sense": "in category theory",
      "tags": [
        "feminine"
      ],
      "word": "categoria pequena"
    }
  ],
  "word": "small category"
}

Download raw JSONL data for small category meaning in All languages combined (1.8kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2026-09-20 from the enwiktionary dump dated 2026-09-02 using wiktextract (d6fca27 and 65e1673). 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.