"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

Inflected forms

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        "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"
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
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        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
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          "parents": [],
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        {
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        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
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          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2016, M. Kool, A. Gholampour, “Rank 2 wall-crossing and the Serre correspondence”, in arXiv:",
          "text": "Provided #92;mathcal#123;R#125; admits a cosection cutting out a 1-dimensional subscheme, we prove that the generating function of these Euler characteristics is equal to M(q)#123;2e(X)#125; times a polynomial of degree c#95;3(#92;mathcal#123;R#125;).",
          "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": [
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        "2": "co",
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      "name": "prefix"
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  ],
  "etymology_text": "From co- + section.",
  "forms": [
    {
      "form": "cosections",
      "tags": [
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      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "cosection (plural cosections)",
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  ],
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          "ref": "2016, M. Kool, A. Gholampour, “Rank 2 wall-crossing and the Serre correspondence”, in arXiv:",
          "text": "Provided #92;mathcal#123;R#125; admits a cosection cutting out a 1-dimensional subscheme, we prove that the generating function of these Euler characteristics is equal to M(q)#123;2e(X)#125; times a polynomial of degree c#95;3(#92;mathcal#123;R#125;).",
          "type": "quote"
        }
      ],
      "glosses": [
        "The left inverse of a morphism."
      ],
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        ]
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      "raw_glosses": [
        "(mathematics) The left inverse of a morphism."
      ],
      "topics": [
        "mathematics",
        "sciences"
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    }
  ],
  "word": "cosection"
}

Download raw JSONL data for cosection meaning in All languages combined (1.3kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-03-01 from the enwiktionary dump dated 2025-02-21 using wiktextract (7c21d10 and f2e72e5). 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.