"cocategory" meaning in English

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "co",
        "3": "category"
      },
      "expansion": "co- + category",
      "name": "prefix"
    }
  ],
  "etymology_text": "From co- + category.",
  "forms": [
    {
      "form": "cocategories",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "cocategory (plural cocategories)",
      "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": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2007, American Mathematical Society, Mathematical Reviews:",
          "text": "Among the new results there is the existence of a closed monoidal structure on the category of cocomplete augmented cocategories over a ground field k.",
          "type": "quote"
        }
      ],
      "glosses": [
        "The dual of a category."
      ],
      "id": "en-cocategory-en-noun-2t8pDkCi",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "dual",
          "dual"
        ],
        [
          "category",
          "category"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The dual of a category."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "cocategory"
}

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "co",
        "3": "category"
      },
      "expansion": "co- + category",
      "name": "prefix"
    }
  ],
  "etymology_text": "From co- + category.",
  "forms": [
    {
      "form": "cocategories",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "cocategory (plural cocategories)",
      "name": "en-noun"
    }
  ],
  "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-",
        "English terms with quotations",
        "Pages with 1 entry",
        "Pages with entries",
        "Quotation templates to be cleaned",
        "en:Mathematics"
      ],
      "examples": [
        {
          "ref": "2007, American Mathematical Society, Mathematical Reviews:",
          "text": "Among the new results there is the existence of a closed monoidal structure on the category of cocomplete augmented cocategories over a ground field k.",
          "type": "quote"
        }
      ],
      "glosses": [
        "The dual of a category."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "dual",
          "dual"
        ],
        [
          "category",
          "category"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The dual of a category."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "cocategory"
}