"terminal object" meaning in English

See terminal object in All languages combined, or Wiktionary

Noun

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 [masculine] (Russian), терминальный объект [masculine] (Russian)

Inflected forms

Download JSON data for terminal object meaning in English (2.4kB)

{
  "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": "German terms in nonstandard scripts",
          "parents": [
            "Terms in nonstandard scripts",
            "Entry maintenance"
          ],
          "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."
        },
        {
          "text": "The terminal object is the limit over the empty diagram."
        }
      ],
      "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": "de",
          "lang": "Russian",
          "sense": "Translations",
          "tags": [
            "masculine"
          ],
          "word": "конечный объект"
        },
        {
          "code": "de",
          "lang": "Russian",
          "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",
        "German terms in nonstandard scripts",
        "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."
        },
        {
          "text": "The terminal object is the limit over the empty diagram."
        }
      ],
      "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": "de",
      "lang": "Russian",
      "sense": "Translations",
      "tags": [
        "masculine"
      ],
      "word": "конечный объект"
    },
    {
      "code": "de",
      "lang": "Russian",
      "sense": "Translations",
      "tags": [
        "masculine"
      ],
      "word": "терминальный объект"
    }
  ],
  "word": "terminal object"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-04-26 from the enwiktionary dump dated 2024-04-21 using wiktextract (93a6c53 and 21a9316). 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.