"cofree" meaning in All languages combined

See cofree on Wiktionary

Adjective [English]

Etymology: co- + free Etymology templates: {{prefix|en|co|free}} co- + free Head templates: {{en-adj|-}} cofree (not comparable)
  1. (mathematics) homomorphic and free Tags: not-comparable Categories (topical): Mathematics
    Sense id: en-cofree-en-adj-y4C3qIKe Categories (other): English entries with incorrect language header, English terms prefixed with co- Topics: mathematics, sciences

Download JSON data for cofree meaning in All languages combined (1.4kB)

{
  "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"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-06-04 from the enwiktionary dump dated 2024-05-02 using wiktextract (e9e0a99 and db5a844). 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.