"cocone" meaning in English

See cocone in All languages combined, or Wiktionary

Noun

Forms: cocones [plural]
Etymology: co- + cone Etymology templates: {{prefix|en|co|cone}} co- + cone Head templates: {{en-noun}} cocone (plural cocones)
  1. (category theory) An object V together with an arrow going from each object of a diagram to V such that for any arrow A in the diagram, the pair of arrows to V which form a triangle with A also commute with it. Categories (topical): Category theory Hyponyms: colimit Translations (Translations): Kokegel [masculine] (German)

Inflected forms

Download JSON data for cocone meaning in English (1.6kB)

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "co",
        "3": "cone"
      },
      "expansion": "co- + cone",
      "name": "prefix"
    }
  ],
  "etymology_text": "co- + cone",
  "forms": [
    {
      "form": "cocones",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "cocone (plural cocones)",
      "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": "English terms prefixed with co-",
          "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": [
        "An object V together with an arrow going from each object of a diagram to V such that for any arrow A in the diagram, the pair of arrows to V which form a triangle with A also commute with it."
      ],
      "hyponyms": [
        {
          "word": "colimit"
        }
      ],
      "id": "en-cocone-en-noun-cljw2WrY",
      "links": [
        [
          "category theory",
          "category theory"
        ]
      ],
      "raw_glosses": [
        "(category theory) An object V together with an arrow going from each object of a diagram to V such that for any arrow A in the diagram, the pair of arrows to V which form a triangle with A also commute with it."
      ],
      "topics": [
        "category-theory",
        "computing",
        "engineering",
        "mathematics",
        "natural-sciences",
        "physical-sciences",
        "sciences"
      ],
      "translations": [
        {
          "code": "de",
          "lang": "German",
          "sense": "Translations",
          "tags": [
            "masculine"
          ],
          "word": "Kokegel"
        }
      ]
    }
  ],
  "word": "cocone"
}
{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "co",
        "3": "cone"
      },
      "expansion": "co- + cone",
      "name": "prefix"
    }
  ],
  "etymology_text": "co- + cone",
  "forms": [
    {
      "form": "cocones",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "cocone (plural cocones)",
      "name": "en-noun"
    }
  ],
  "hyponyms": [
    {
      "word": "colimit"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English nouns",
        "English terms prefixed with co-",
        "Translation table header lacks gloss",
        "en:Category theory"
      ],
      "glosses": [
        "An object V together with an arrow going from each object of a diagram to V such that for any arrow A in the diagram, the pair of arrows to V which form a triangle with A also commute with it."
      ],
      "links": [
        [
          "category theory",
          "category theory"
        ]
      ],
      "raw_glosses": [
        "(category theory) An object V together with an arrow going from each object of a diagram to V such that for any arrow A in the diagram, the pair of arrows to V which form a triangle with A also commute with it."
      ],
      "topics": [
        "category-theory",
        "computing",
        "engineering",
        "mathematics",
        "natural-sciences",
        "physical-sciences",
        "sciences"
      ]
    }
  ],
  "translations": [
    {
      "code": "de",
      "lang": "German",
      "sense": "Translations",
      "tags": [
        "masculine"
      ],
      "word": "Kokegel"
    }
  ],
  "word": "cocone"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-01 from the enwiktionary dump dated 2024-04-21 using wiktextract (f4fd8c9 and c9440ce). 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.