"Dehornoy order" meaning in English

{
  "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"
        },
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          "name": "English entries with language name categories using raw markup",
          "parents": [
            "Entries with language name categories using raw markup",
            "Entry maintenance"
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          "source": "w"
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          "kind": "other",
          "name": "English terms with non-redundant non-automated sortkeys",
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          "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"
}