"cofiber" meaning in All languages combined

See cofiber on Wiktionary

Noun [English]

Forms: cofibers [plural]
Etymology: co- + fiber Etymology templates: {{prefix|en|co|fiber}} co- + fiber Head templates: {{en-noun}} cofiber (plural cofibers)
  1. (mathematics) The coequalizer of a mapping. Categories (topical): Mathematics
    Sense id: en-cofiber-en-noun-LBg12aGP Categories (other): English entries with incorrect language header, English terms prefixed with co- Topics: mathematics, sciences

Inflected forms

Download JSON data for cofiber meaning in All languages combined (2.0kB)

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "co",
        "3": "fiber"
      },
      "expansion": "co- + fiber",
      "name": "prefix"
    }
  ],
  "etymology_text": "co- + fiber",
  "forms": [
    {
      "form": "cofibers",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "cofiber (plural cofibers)",
      "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": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2016, Grigory Garkusha, Alexander Neshitov, Ivan Panin, “Framed motives of relative motivic spheres”, in arXiv",
          "text": "The aim of this paper is to prove the following results stated in [GP1]: for any k-smooth scheme X and any n#x5C;geq 1 the map of simplicial pointed sheaves (-,#x5C;mathbbA¹#x5C;rfloor#x5C;mathbbG#x5F;m)#x7B;#x5C;wedgen#x7D;#x5F;#x2B;#x5C;toTⁿ induces a Nisnevich local level weak equivalence of S¹-spectra $M#x5F;#x7B;fr#x7D;(X#x5C;times(#x5C;mathbbA¹#x5C;rfloor#x5C;mathbbG#x5F;m)#x7B;#x5C;wedgen#x7D;)#x5C;toM#x5F;#x7B;fr#x7D;(X#x5C;timesTⁿ)andthesequenceofS^1-spectraM#x5F;#x7B;fr#x7D;(X#x5C;timesTⁿ#x5C;times#x5C;mathbbG#x5F;m)#x5C;toM#x5F;#x7B;fr#x7D;(X#x5C;timesTⁿ#x5C;times#x5C;mathbbA¹)#x5C;toM#x5F;#x7B;fr#x7D;(X#x5C;timesT#x7B;n#x2B;1#x7D;)$ is locally a homotopy cofiber sequence in the Nisnevich topology..",
          "type": "quotation"
        }
      ],
      "glosses": [
        "The coequalizer of a mapping."
      ],
      "id": "en-cofiber-en-noun-LBg12aGP",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "coequalizer",
          "coequalizer"
        ],
        [
          "mapping",
          "mapping"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The coequalizer of a mapping."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "cofiber"
}
{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "co",
        "3": "fiber"
      },
      "expansion": "co- + fiber",
      "name": "prefix"
    }
  ],
  "etymology_text": "co- + fiber",
  "forms": [
    {
      "form": "cofibers",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "cofiber (plural cofibers)",
      "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",
        "en:Mathematics"
      ],
      "examples": [
        {
          "ref": "2016, Grigory Garkusha, Alexander Neshitov, Ivan Panin, “Framed motives of relative motivic spheres”, in arXiv",
          "text": "The aim of this paper is to prove the following results stated in [GP1]: for any k-smooth scheme X and any n#x5C;geq 1 the map of simplicial pointed sheaves (-,#x5C;mathbbA¹#x5C;rfloor#x5C;mathbbG#x5F;m)#x7B;#x5C;wedgen#x7D;#x5F;#x2B;#x5C;toTⁿ induces a Nisnevich local level weak equivalence of S¹-spectra $M#x5F;#x7B;fr#x7D;(X#x5C;times(#x5C;mathbbA¹#x5C;rfloor#x5C;mathbbG#x5F;m)#x7B;#x5C;wedgen#x7D;)#x5C;toM#x5F;#x7B;fr#x7D;(X#x5C;timesTⁿ)andthesequenceofS^1-spectraM#x5F;#x7B;fr#x7D;(X#x5C;timesTⁿ#x5C;times#x5C;mathbbG#x5F;m)#x5C;toM#x5F;#x7B;fr#x7D;(X#x5C;timesTⁿ#x5C;times#x5C;mathbbA¹)#x5C;toM#x5F;#x7B;fr#x7D;(X#x5C;timesT#x7B;n#x2B;1#x7D;)$ is locally a homotopy cofiber sequence in the Nisnevich topology..",
          "type": "quotation"
        }
      ],
      "glosses": [
        "The coequalizer of a mapping."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "coequalizer",
          "coequalizer"
        ],
        [
          "mapping",
          "mapping"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The coequalizer of a mapping."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "cofiber"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-06-23 from the enwiktionary dump dated 2024-06-20 using wiktextract (1b9bfc5 and 0136956). 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.