"Lickorish-Wallace theorem" meaning in English

See Lickorish-Wallace theorem in All languages combined, or Wiktionary

Proper name

Etymology: The theorem was proved independently in the early 1960s by W. B. R. Lickorish and Andrew H. Wallace. Head templates: {{en-proper noun}} Lickorish-Wallace theorem
  1. (mathematics) The theorem that any closed, orientable, connected 3-manifold may be obtained by performing Dehn surgery on a framed link in the 3-sphere with ±1 surgery coefficients, and that each component of the link can be assumed to be unknotted. Wikipedia link: Lickorish-Wallace theorem
    Sense id: en-Lickorish-Wallace_theorem-en-name-JQdyHgqP Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries, Mathematics Topics: mathematics, sciences
{
  "etymology_text": "The theorem was proved independently in the early 1960s by W. B. R. Lickorish and Andrew H. Wallace.",
  "head_templates": [
    {
      "args": {},
      "expansion": "Lickorish-Wallace theorem",
      "name": "en-proper noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [],
          "source": "w"
        }
      ],
      "glosses": [
        "The theorem that any closed, orientable, connected 3-manifold may be obtained by performing Dehn surgery on a framed link in the 3-sphere with ±1 surgery coefficients, and that each component of the link can be assumed to be unknotted."
      ],
      "id": "en-Lickorish-Wallace_theorem-en-name-JQdyHgqP",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "theorem",
          "theorem"
        ],
        [
          "closed",
          "closed"
        ],
        [
          "orientable",
          "orientable"
        ],
        [
          "connected",
          "connected"
        ],
        [
          "manifold",
          "manifold"
        ],
        [
          "Dehn surgery",
          "Dehn surgery"
        ],
        [
          "link",
          "link"
        ],
        [
          "sphere",
          "sphere"
        ],
        [
          "coefficient",
          "coefficient"
        ],
        [
          "unknotted",
          "unknotted"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The theorem that any closed, orientable, connected 3-manifold may be obtained by performing Dehn surgery on a framed link in the 3-sphere with ±1 surgery coefficients, and that each component of the link can be assumed to be unknotted."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Lickorish-Wallace theorem"
      ]
    }
  ],
  "word": "Lickorish-Wallace theorem"
}
{
  "etymology_text": "The theorem was proved independently in the early 1960s by W. B. R. Lickorish and Andrew H. Wallace.",
  "head_templates": [
    {
      "args": {},
      "expansion": "Lickorish-Wallace theorem",
      "name": "en-proper noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "senses": [
    {
      "categories": [
        "English entries with incorrect language header",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English proper nouns",
        "English uncountable nouns",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Mathematics"
      ],
      "glosses": [
        "The theorem that any closed, orientable, connected 3-manifold may be obtained by performing Dehn surgery on a framed link in the 3-sphere with ±1 surgery coefficients, and that each component of the link can be assumed to be unknotted."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "theorem",
          "theorem"
        ],
        [
          "closed",
          "closed"
        ],
        [
          "orientable",
          "orientable"
        ],
        [
          "connected",
          "connected"
        ],
        [
          "manifold",
          "manifold"
        ],
        [
          "Dehn surgery",
          "Dehn surgery"
        ],
        [
          "link",
          "link"
        ],
        [
          "sphere",
          "sphere"
        ],
        [
          "coefficient",
          "coefficient"
        ],
        [
          "unknotted",
          "unknotted"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The theorem that any closed, orientable, connected 3-manifold may be obtained by performing Dehn surgery on a framed link in the 3-sphere with ±1 surgery coefficients, and that each component of the link can be assumed to be unknotted."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Lickorish-Wallace theorem"
      ]
    }
  ],
  "word": "Lickorish-Wallace theorem"
}

Download raw JSONL data for Lickorish-Wallace theorem meaning in English (1.5kB)


This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-05-27 from the enwiktionary dump dated 2025-05-20 using wiktextract (a4e883e and f1c2b61). 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.