"colimit" meaning in English

See colimit in All languages combined, or Wiktionary

Noun

Forms: colimits [plural]
Etymology: co- + limit Etymology templates: {{prefix|en|co|limit}} co- + limit Head templates: {{en-noun}} colimit (plural colimits)
  1. (category theory) The cocone of a diagram through which any other cocone of that same diagram can factor uniquely. Categories (topical): Category theory Hypernyms: cocone Hyponyms: identity morphism, initial object, coproduct, pushout, coequalizer
    Sense id: en-colimit-en-noun-WhsZ979v Topics: category-theory, computing, engineering, mathematics, natural-sciences, physical-sciences, sciences

Verb

Forms: colimits [present, singular, third-person], colimiting [participle, present], colimited [participle, past], colimited [past]
Etymology: co- + limit Etymology templates: {{prefix|en|co|limit}} co- + limit Head templates: {{en-verb}} colimit (third-person singular simple present colimits, present participle colimiting, simple past and past participle colimited)
  1. (transitive) To limit along with another material. Tags: transitive
    Sense id: en-colimit-en-verb-arcr-CiP Categories (other): English entries with incorrect language header, English terms prefixed with co- Disambiguation of English entries with incorrect language header: 33 67 Disambiguation of English terms prefixed with co-: 36 64

Inflected forms

Download JSON data for colimit meaning in English (2.5kB)

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  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "co",
        "3": "limit"
      },
      "expansion": "co- + limit",
      "name": "prefix"
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  ],
  "etymology_text": "co- + limit",
  "forms": [
    {
      "form": "colimits",
      "tags": [
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  "head_templates": [
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  "pos": "noun",
  "senses": [
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          "kind": "topical",
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            "Formal sciences",
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            "Fundamental"
          ],
          "source": "w"
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      ],
      "glosses": [
        "The cocone of a diagram through which any other cocone of that same diagram can factor uniquely."
      ],
      "hypernyms": [
        {
          "word": "cocone"
        }
      ],
      "hyponyms": [
        {
          "word": "identity morphism"
        },
        {
          "word": "initial object"
        },
        {
          "word": "coproduct"
        },
        {
          "word": "pushout"
        },
        {
          "word": "coequalizer"
        }
      ],
      "id": "en-colimit-en-noun-WhsZ979v",
      "links": [
        [
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        [
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        [
          "through",
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        ],
        [
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          "factor through"
        ]
      ],
      "raw_glosses": [
        "(category theory) The cocone of a diagram through which any other cocone of that same diagram can factor uniquely."
      ],
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    }
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    },
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    {
      "form": "colimited",
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    },
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  "lang_code": "en",
  "pos": "verb",
  "senses": [
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      "categories": [
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          "_dis": "33 67",
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      ],
      "glosses": [
        "To limit along with another material."
      ],
      "id": "en-colimit-en-verb-arcr-CiP",
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      ],
      "raw_glosses": [
        "(transitive) To limit along with another material."
      ],
      "tags": [
        "transitive"
      ]
    }
  ],
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  "etymology_text": "co- + limit",
  "forms": [
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  ],
  "hyponyms": [
    {
      "word": "identity morphism"
    },
    {
      "word": "initial object"
    },
    {
      "word": "coproduct"
    },
    {
      "word": "pushout"
    },
    {
      "word": "coequalizer"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "en:Category theory"
      ],
      "glosses": [
        "The cocone of a diagram through which any other cocone of that same diagram can factor uniquely."
      ],
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        [
          "category theory",
          "category theory"
        ],
        [
          "cocone",
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        ],
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          "factor through"
        ],
        [
          "factor",
          "factor through"
        ]
      ],
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        "(category theory) The cocone of a diagram through which any other cocone of that same diagram can factor uniquely."
      ],
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        "category-theory",
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        "mathematics",
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  "word": "colimit"
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  "etymology_text": "co- + limit",
  "forms": [
    {
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      "tags": [
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    },
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      "form": "colimited",
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    {
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      ]
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  ],
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  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "verb",
  "senses": [
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      "categories": [
        "English transitive verbs"
      ],
      "glosses": [
        "To limit along with another material."
      ],
      "links": [
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        "(transitive) To limit along with another material."
      ],
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    }
  ],
  "word": "colimit"
}

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.