"terminal object" meaning in All languages combined

See terminal object on Wiktionary

Noun [English]

Forms: terminal objects [plural]
Head templates: {{en-noun}} terminal object (plural terminal objects)
  1. (category theory) An object within a category which receives arrows from all other objects in that category, and such that each of these arrows is unique. Wikipedia link: Initial and terminal objects Categories (topical): Category theory Synonyms: final object Hypernyms: limit Hyponyms: null object (english: zero object) Translations (Translations): Endobjekt [neuter] (German), finales Objekt [neuter] (German), terminales Objekt [neuter] (German), конечный объект (konečnyj obʺjekt) [masculine] (Russian), терминальный объект (terminalʹnyj obʺjekt) [masculine] (Russian)

Inflected forms

{
  "antonyms": [
    {
      "word": "initial object"
    }
  ],
  "forms": [
    {
      "form": "terminal objects",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "terminal object (plural terminal objects)",
      "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": "Entries with translation boxes",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with German translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Russian translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Category theory",
          "orig": "en:Category theory",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "In the category of sets, a terminal object is any singleton, since there exists a unique function, namely the constant function, from any given set into that singleton.",
          "type": "example"
        },
        {
          "text": "The terminal object is the limit over the empty diagram.",
          "type": "example"
        }
      ],
      "glosses": [
        "An object within a category which receives arrows from all other objects in that category, and such that each of these arrows is unique."
      ],
      "hypernyms": [
        {
          "word": "limit"
        }
      ],
      "hyponyms": [
        {
          "english": "zero object",
          "word": "null object"
        }
      ],
      "id": "en-terminal_object-en-noun-MjqoHJXv",
      "links": [
        [
          "category theory",
          "category theory"
        ],
        [
          "category",
          "category"
        ],
        [
          "arrow",
          "arrow"
        ],
        [
          "unique",
          "unique"
        ]
      ],
      "raw_glosses": [
        "(category theory) An object within a category which receives arrows from all other objects in that category, and such that each of these arrows is unique."
      ],
      "synonyms": [
        {
          "word": "final object"
        }
      ],
      "topics": [
        "category-theory",
        "computing",
        "engineering",
        "mathematics",
        "natural-sciences",
        "physical-sciences",
        "sciences"
      ],
      "translations": [
        {
          "code": "de",
          "lang": "German",
          "sense": "Translations",
          "tags": [
            "neuter"
          ],
          "word": "Endobjekt"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "Translations",
          "tags": [
            "neuter"
          ],
          "word": "finales Objekt"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "Translations",
          "tags": [
            "neuter"
          ],
          "word": "terminales Objekt"
        },
        {
          "code": "ru",
          "lang": "Russian",
          "roman": "konečnyj obʺjekt",
          "sense": "Translations",
          "tags": [
            "masculine"
          ],
          "word": "конечный объект"
        },
        {
          "code": "ru",
          "lang": "Russian",
          "roman": "terminalʹnyj obʺjekt",
          "sense": "Translations",
          "tags": [
            "masculine"
          ],
          "word": "терминальный объект"
        }
      ],
      "wikipedia": [
        "Initial and terminal objects"
      ]
    }
  ],
  "word": "terminal object"
}
{
  "antonyms": [
    {
      "word": "initial object"
    }
  ],
  "forms": [
    {
      "form": "terminal objects",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "terminal object (plural terminal objects)",
      "name": "en-noun"
    }
  ],
  "hypernyms": [
    {
      "word": "limit"
    }
  ],
  "hyponyms": [
    {
      "english": "zero object",
      "word": "null object"
    }
  ],
  "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",
        "English terms with usage examples",
        "Entries with translation boxes",
        "Pages with 1 entry",
        "Pages with entries",
        "Terms with German translations",
        "Terms with Russian translations",
        "Translation table header lacks gloss",
        "en:Category theory"
      ],
      "examples": [
        {
          "text": "In the category of sets, a terminal object is any singleton, since there exists a unique function, namely the constant function, from any given set into that singleton.",
          "type": "example"
        },
        {
          "text": "The terminal object is the limit over the empty diagram.",
          "type": "example"
        }
      ],
      "glosses": [
        "An object within a category which receives arrows from all other objects in that category, and such that each of these arrows is unique."
      ],
      "links": [
        [
          "category theory",
          "category theory"
        ],
        [
          "category",
          "category"
        ],
        [
          "arrow",
          "arrow"
        ],
        [
          "unique",
          "unique"
        ]
      ],
      "raw_glosses": [
        "(category theory) An object within a category which receives arrows from all other objects in that category, and such that each of these arrows is unique."
      ],
      "topics": [
        "category-theory",
        "computing",
        "engineering",
        "mathematics",
        "natural-sciences",
        "physical-sciences",
        "sciences"
      ],
      "wikipedia": [
        "Initial and terminal objects"
      ]
    }
  ],
  "synonyms": [
    {
      "word": "final object"
    }
  ],
  "translations": [
    {
      "code": "de",
      "lang": "German",
      "sense": "Translations",
      "tags": [
        "neuter"
      ],
      "word": "Endobjekt"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "Translations",
      "tags": [
        "neuter"
      ],
      "word": "finales Objekt"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "Translations",
      "tags": [
        "neuter"
      ],
      "word": "terminales Objekt"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "konečnyj obʺjekt",
      "sense": "Translations",
      "tags": [
        "masculine"
      ],
      "word": "конечный объект"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "terminalʹnyj obʺjekt",
      "sense": "Translations",
      "tags": [
        "masculine"
      ],
      "word": "терминальный объект"
    }
  ],
  "word": "terminal object"
}

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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 2024-12-21 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.