"cosection" meaning in All languages combined

See cosection on Wiktionary

Noun [English]

Forms: cosections [plural]
Etymology: From co- + section. Etymology templates: {{prefix|en|co|section}} co- + section Head templates: {{en-noun}} cosection (plural cosections)
  1. (mathematics) The left inverse of a morphism. Categories (topical): Mathematics
    Sense id: en-cosection-en-noun-UzR3hYRx Categories (other): English entries with incorrect language header, English terms prefixed with co-, Pages with 1 entry Topics: mathematics, sciences

Inflected forms

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "co",
        "3": "section"
      },
      "expansion": "co- + section",
      "name": "prefix"
    }
  ],
  "etymology_text": "From co- + section.",
  "forms": [
    {
      "form": "cosections",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "cosection (plural cosections)",
      "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"
        },
        {
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          "name": "English terms prefixed with co-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
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          "parents": [],
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        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2016, M. Kool, A. Gholampour, “Rank 2 wall-crossing and the Serre correspondence”, in arXiv:",
          "text": "Provided #x5C;mathcal#x7B;R#x7D; admits a cosection cutting out a 1-dimensional subscheme, we prove that the generating function of these Euler characteristics is equal to M(q)#x7B;2e(X)#x7D; times a polynomial of degree c#x5F;3(#x5C;mathcal#x7B;R#x7D;).",
          "type": "quote"
        }
      ],
      "glosses": [
        "The left inverse of a morphism."
      ],
      "id": "en-cosection-en-noun-UzR3hYRx",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "morphism",
          "morphism"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The left inverse of a morphism."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "cosection"
}
{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "co",
        "3": "section"
      },
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  ],
  "etymology_text": "From co- + section.",
  "forms": [
    {
      "form": "cosections",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "cosection (plural cosections)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
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      "examples": [
        {
          "ref": "2016, M. Kool, A. Gholampour, “Rank 2 wall-crossing and the Serre correspondence”, in arXiv:",
          "text": "Provided #x5C;mathcal#x7B;R#x7D; admits a cosection cutting out a 1-dimensional subscheme, we prove that the generating function of these Euler characteristics is equal to M(q)#x7B;2e(X)#x7D; times a polynomial of degree c#x5F;3(#x5C;mathcal#x7B;R#x7D;).",
          "type": "quote"
        }
      ],
      "glosses": [
        "The left inverse of a morphism."
      ],
      "links": [
        [
          "mathematics",
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        ],
        [
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        ]
      ],
      "raw_glosses": [
        "(mathematics) The left inverse of a morphism."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "cosection"
}

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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-09-22 from the enwiktionary dump dated 2024-09-20 using wiktextract (af5c55c and 66545a6). 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.