"Dehornoy order" meaning in All languages combined

See Dehornoy order on Wiktionary

Noun [English]

Etymology: Found by Patrick Dehornoy. Head templates: {{en-noun|?}} Dehornoy order
  1. (mathematics, braid theory) A left-invariant total order on the braid group. Wikipedia link: Dehornoy order Categories (topical): Mathematics

Download JSON data for Dehornoy order meaning in All languages combined (1.3kB)

{
  "etymology_text": "Found by Patrick Dehornoy.",
  "head_templates": [
    {
      "args": {
        "1": "?"
      },
      "expansion": "Dehornoy order",
      "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 entries with language name categories using raw markup",
          "parents": [
            "Entries with language name categories using raw markup",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms with non-redundant non-automated sortkeys",
          "parents": [
            "Terms with non-redundant non-automated sortkeys",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A left-invariant total order on the braid group."
      ],
      "id": "en-Dehornoy_order-en-noun-bUvWK5pn",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "braid group",
          "braid group"
        ]
      ],
      "qualifier": "braid theory",
      "raw_glosses": [
        "(mathematics, braid theory) A left-invariant total order on the braid group."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Dehornoy order"
      ]
    }
  ],
  "word": "Dehornoy order"
}
{
  "etymology_text": "Found by Patrick Dehornoy.",
  "head_templates": [
    {
      "args": {
        "1": "?"
      },
      "expansion": "Dehornoy order",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English entries with language name categories using raw markup",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English nouns with unknown or uncertain plurals",
        "English terms with non-redundant non-automated sortkeys",
        "en:Mathematics"
      ],
      "glosses": [
        "A left-invariant total order on the braid group."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "braid group",
          "braid group"
        ]
      ],
      "qualifier": "braid theory",
      "raw_glosses": [
        "(mathematics, braid theory) A left-invariant total order on the braid group."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Dehornoy order"
      ]
    }
  ],
  "word": "Dehornoy order"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-20 from the enwiktionary dump dated 2024-05-02 using wiktextract (1d5a7d1 and 304864d). 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.