"biquotient" meaning in All languages combined

See biquotient on Wiktionary

Noun [English]

Forms: biquotients [plural]
Etymology: bi- + quotient Etymology templates: {{prefix|en|bi|quotient}} bi- + quotient Head templates: {{en-noun}} biquotient (plural biquotients)
  1. (mathematics) The base space of a principal bundle with a homogeneous space as total space. Categories (topical): Mathematics
    Sense id: en-biquotient-en-noun-xdjIdiT6 Categories (other): English entries with incorrect language header, English terms prefixed with bi- Topics: mathematics, sciences

Inflected forms

Download JSON data for biquotient meaning in All languages combined (1.6kB)

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "bi",
        "3": "quotient"
      },
      "expansion": "bi- + quotient",
      "name": "prefix"
    }
  ],
  "etymology_text": "bi- + quotient",
  "forms": [
    {
      "form": "biquotients",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "biquotient (plural biquotients)",
      "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 bi-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2016, Svjetlana Terzic, “Geometric formality of rationally elliptic manifolds in small dimensions”, in Glasnik of the Section of Natural Sciences, volume Montenegrin Academy of",
          "text": "An infinite family of six-dimensional simply connected biquotients whose second Betti number is three, different from Totaro's biquotients, is considered and it is proved that none of biquotient from this family is geometrically formal..",
          "type": "quotation"
        }
      ],
      "glosses": [
        "The base space of a principal bundle with a homogeneous space as total space."
      ],
      "id": "en-biquotient-en-noun-xdjIdiT6",
      "links": [
        [
          "mathematics",
          "mathematics"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The base space of a principal bundle with a homogeneous space as total space."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "biquotient"
}
{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "bi",
        "3": "quotient"
      },
      "expansion": "bi- + quotient",
      "name": "prefix"
    }
  ],
  "etymology_text": "bi- + quotient",
  "forms": [
    {
      "form": "biquotients",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "biquotient (plural biquotients)",
      "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 bi-",
        "English terms with quotations",
        "en:Mathematics"
      ],
      "examples": [
        {
          "ref": "2016, Svjetlana Terzic, “Geometric formality of rationally elliptic manifolds in small dimensions”, in Glasnik of the Section of Natural Sciences, volume Montenegrin Academy of",
          "text": "An infinite family of six-dimensional simply connected biquotients whose second Betti number is three, different from Totaro's biquotients, is considered and it is proved that none of biquotient from this family is geometrically formal..",
          "type": "quotation"
        }
      ],
      "glosses": [
        "The base space of a principal bundle with a homogeneous space as total space."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The base space of a principal bundle with a homogeneous space as total space."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "biquotient"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-06-19 from the enwiktionary dump dated 2024-06-06 using wiktextract (372f256 and 664a3bc). 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.