"cofree" meaning in English

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "co",
        "3": "free"
      },
      "expansion": "co- + free",
      "name": "prefix"
    }
  ],
  "etymology_text": "co- + free",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "cofree (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "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": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2015, Clément Dupont, Bruno Vallette, “Brown's moduli spaces of curves and the gravity operad”, in arXiv",
          "text": "Our method relies on both the geometric and the algebraic aspects of the problem: the complete geometric description of the cohomology of Brown's moduli spaces and the coradical filtration of cofree cooperads..",
          "type": "quotation"
        }
      ],
      "glosses": [
        "homomorphic and free"
      ],
      "id": "en-cofree-en-adj-y4C3qIKe",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "homomorphic",
          "homomorphic"
        ],
        [
          "free",
          "free"
        ]
      ],
      "raw_glosses": [
        "(mathematics) homomorphic and free"
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "cofree"
}

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "co",
        "3": "free"
      },
      "expansion": "co- + free",
      "name": "prefix"
    }
  ],
  "etymology_text": "co- + free",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "cofree (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        "English adjectives",
        "English entries with incorrect language header",
        "English lemmas",
        "English terms prefixed with co-",
        "English terms with quotations",
        "English uncomparable adjectives",
        "en:Mathematics"
      ],
      "examples": [
        {
          "ref": "2015, Clément Dupont, Bruno Vallette, “Brown's moduli spaces of curves and the gravity operad”, in arXiv",
          "text": "Our method relies on both the geometric and the algebraic aspects of the problem: the complete geometric description of the cohomology of Brown's moduli spaces and the coradical filtration of cofree cooperads..",
          "type": "quotation"
        }
      ],
      "glosses": [
        "homomorphic and free"
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "homomorphic",
          "homomorphic"
        ],
        [
          "free",
          "free"
        ]
      ],
      "raw_glosses": [
        "(mathematics) homomorphic and free"
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "cofree"
}