"Dehn surgery" meaning in English

See Dehn surgery in All languages combined, or Wiktionary

Noun

Forms: Dehn surgeries [plural]
Etymology: Named after Max Dehn. Head templates: {{en-noun|~}} Dehn surgery (countable and uncountable, plural Dehn surgeries)
  1. (topology) The removal of a solid torus from a 3-dimensional manifold, followed by its being replaced via a homeomorphism of its boundary. Tags: countable, uncountable Categories (topical): Topology Translations (replacement of solid torus): Dehnkirurgi [common-gender] (Danish)
    Sense id: en-Dehn_surgery-en-noun-Nu7NCzgV Topics: mathematics, sciences, topology Disambiguation of 'replacement of solid torus': 87 13
  2. (topology, specifically) The same, but with the manifold in question being the 3-dimensional sphere. Tags: countable, specifically, uncountable Categories (topical): Topology
    Sense id: en-Dehn_surgery-en-noun-D~uNRHYp Categories (other): English entries with incorrect language header, English entries with language name categories using raw markup, English terms with non-redundant non-automated sortkeys Disambiguation of English entries with incorrect language header: 34 66 Disambiguation of English entries with language name categories using raw markup: 33 67 Disambiguation of English terms with non-redundant non-automated sortkeys: 34 66 Topics: mathematics, sciences, topology

Inflected forms

Download JSON data for Dehn surgery meaning in English (2.6kB)

{
  "etymology_text": "Named after Max Dehn.",
  "forms": [
    {
      "form": "Dehn surgeries",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "~"
      },
      "expansion": "Dehn surgery (countable and uncountable, plural Dehn surgeries)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Topology",
          "orig": "en:Topology",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "The removal of a solid torus from a 3-dimensional manifold, followed by its being replaced via a homeomorphism of its boundary."
      ],
      "id": "en-Dehn_surgery-en-noun-Nu7NCzgV",
      "links": [
        [
          "topology",
          "topology"
        ],
        [
          "solid torus",
          "solid torus"
        ],
        [
          "-dimensional",
          "-dimensional"
        ],
        [
          "manifold",
          "manifold"
        ],
        [
          "replace",
          "replace"
        ],
        [
          "homeomorphism",
          "homeomorphism"
        ],
        [
          "boundary",
          "boundary"
        ]
      ],
      "raw_glosses": [
        "(topology) The removal of a solid torus from a 3-dimensional manifold, followed by its being replaced via a homeomorphism of its boundary."
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ],
      "translations": [
        {
          "_dis1": "87 13",
          "code": "da",
          "lang": "Danish",
          "sense": "replacement of solid torus",
          "tags": [
            "common-gender"
          ],
          "word": "Dehnkirurgi"
        }
      ]
    },
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Topology",
          "orig": "en:Topology",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "_dis": "34 66",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        },
        {
          "_dis": "33 67",
          "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+disamb"
        },
        {
          "_dis": "34 66",
          "kind": "other",
          "name": "English terms with non-redundant non-automated sortkeys",
          "parents": [
            "Terms with non-redundant non-automated sortkeys",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        }
      ],
      "glosses": [
        "The same, but with the manifold in question being the 3-dimensional sphere."
      ],
      "id": "en-Dehn_surgery-en-noun-D~uNRHYp",
      "links": [
        [
          "topology",
          "topology"
        ],
        [
          "sphere",
          "sphere"
        ]
      ],
      "raw_glosses": [
        "(topology, specifically) The same, but with the manifold in question being the 3-dimensional sphere."
      ],
      "tags": [
        "countable",
        "specifically",
        "uncountable"
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ]
    }
  ],
  "wikipedia": [
    "Dehn surgery",
    "Max Dehn"
  ],
  "word": "Dehn surgery"
}
{
  "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 terms with non-redundant non-automated sortkeys",
    "English uncountable nouns"
  ],
  "etymology_text": "Named after Max Dehn.",
  "forms": [
    {
      "form": "Dehn surgeries",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "~"
      },
      "expansion": "Dehn surgery (countable and uncountable, plural Dehn surgeries)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "en:Topology"
      ],
      "glosses": [
        "The removal of a solid torus from a 3-dimensional manifold, followed by its being replaced via a homeomorphism of its boundary."
      ],
      "links": [
        [
          "topology",
          "topology"
        ],
        [
          "solid torus",
          "solid torus"
        ],
        [
          "-dimensional",
          "-dimensional"
        ],
        [
          "manifold",
          "manifold"
        ],
        [
          "replace",
          "replace"
        ],
        [
          "homeomorphism",
          "homeomorphism"
        ],
        [
          "boundary",
          "boundary"
        ]
      ],
      "raw_glosses": [
        "(topology) The removal of a solid torus from a 3-dimensional manifold, followed by its being replaced via a homeomorphism of its boundary."
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ]
    },
    {
      "categories": [
        "en:Topology"
      ],
      "glosses": [
        "The same, but with the manifold in question being the 3-dimensional sphere."
      ],
      "links": [
        [
          "topology",
          "topology"
        ],
        [
          "sphere",
          "sphere"
        ]
      ],
      "raw_glosses": [
        "(topology, specifically) The same, but with the manifold in question being the 3-dimensional sphere."
      ],
      "tags": [
        "countable",
        "specifically",
        "uncountable"
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ]
    }
  ],
  "translations": [
    {
      "code": "da",
      "lang": "Danish",
      "sense": "replacement of solid torus",
      "tags": [
        "common-gender"
      ],
      "word": "Dehnkirurgi"
    }
  ],
  "wikipedia": [
    "Dehn surgery",
    "Max Dehn"
  ],
  "word": "Dehn surgery"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-04-26 from the enwiktionary dump dated 2024-04-21 using wiktextract (93a6c53 and 21a9316). 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.