"cocompletion" meaning in English

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  "etymology_text": "co- + completion",
  "forms": [
    {
      "form": "cocompletions",
      "tags": [
        "plural"
      ]
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      "expansion": "cocompletion (plural cocompletions)",
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  "lang_code": "en",
  "pos": "noun",
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        {
          "ref": "2015, Rory B. B. Lucyshyn-Wright, “Enriched algebraic theories and monads for a system of arities”, in arXiv",
          "text": "We show that j satisfies this condition if and only if j presents #x5C;mathcal#x7B;V#x7D; as a free cocompletion of #x5C;mathcal#x7B;J#x7D; with respect to the weights for left Kan extensions along j, and so we call such systems of arities eleutheric.",
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      ],
      "glosses": [
        "A full embedding whose image is a cocomplete category and for which every functor with a cocomplete image has an extension to a cocontinuous functor that is unique up to natural isomorphism."
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          "embedding",
          "embedding"
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          "cocomplete",
          "cocomplete"
        ],
        [
          "category",
          "category"
        ],
        [
          "functor",
          "functor"
        ],
        [
          "cocontinuous",
          "cocontinuous"
        ],
        [
          "unique",
          "unique"
        ],
        [
          "isomorphism",
          "isomorphism"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A full embedding whose image is a cocomplete category and for which every functor with a cocomplete image has an extension to a cocontinuous functor that is unique up to natural isomorphism."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "cocompletion"
}

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      "expansion": "co- + completion",
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  ],
  "etymology_text": "co- + completion",
  "forms": [
    {
      "form": "cocompletions",
      "tags": [
        "plural"
      ]
    }
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          "ref": "2015, Rory B. B. Lucyshyn-Wright, “Enriched algebraic theories and monads for a system of arities”, in arXiv",
          "text": "We show that j satisfies this condition if and only if j presents #x5C;mathcal#x7B;V#x7D; as a free cocompletion of #x5C;mathcal#x7B;J#x7D; with respect to the weights for left Kan extensions along j, and so we call such systems of arities eleutheric.",
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      ],
      "glosses": [
        "A full embedding whose image is a cocomplete category and for which every functor with a cocomplete image has an extension to a cocontinuous functor that is unique up to natural isomorphism."
      ],
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          "mathematics",
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      "raw_glosses": [
        "(mathematics) A full embedding whose image is a cocomplete category and for which every functor with a cocomplete image has an extension to a cocontinuous functor that is unique up to natural isomorphism."
      ],
      "topics": [
        "mathematics",
        "sciences"
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  "word": "cocompletion"
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