"Murasugi sum" meaning in All languages combined

See Murasugi sum on Wiktionary

Noun [English]

Forms: Murasugi sums [plural]
Etymology: After Kunio Murasugi. Head templates: {{en-noun}} Murasugi sum (plural Murasugi sums)
  1. The union of a finite sequence of surfaces taken over a disk common to every adjacent pair of the sequence, such that the boundary of the disk comprises some even number of closed arcs, disjoint except at their endpoints, which are alternatingly subarcs of the two surfaces' boundaries. Translations (union of a finite sequence of surfaces taken over a disk): somme de Murasugi [feminine] (French)
    Sense id: en-Murasugi_sum-en-noun-vQeZdgSV Categories (other): English entries with incorrect language header, Entries with translation boxes, Pages with 1 entry, Pages with entries, Terms with French translations Disambiguation of English entries with incorrect language header: 53 47 Disambiguation of Entries with translation boxes: 58 42 Disambiguation of Pages with 1 entry: 51 49 Disambiguation of Pages with entries: 50 50 Disambiguation of Terms with French translations: 50 50 Disambiguation of 'union of a finite sequence of surfaces taken over a disk': 82 18
  2. The union of links formed by taking such a sum of their Seifert surfaces and taking the boundary of the result. Hyponyms: plumbing Translations (union of links): somme de Murasugi [feminine] (French)
    Sense id: en-Murasugi_sum-en-noun-Ueh16R7w Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries, Terms with French translations Disambiguation of English entries with incorrect language header: 53 47 Disambiguation of Pages with 1 entry: 51 49 Disambiguation of Pages with entries: 50 50 Disambiguation of Terms with French translations: 50 50 Disambiguation of 'union of links': 15 85

Inflected forms

{
  "etymology_text": "After Kunio Murasugi.",
  "forms": [
    {
      "form": "Murasugi sums",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Murasugi sum (plural Murasugi sums)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "_dis": "53 47",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        },
        {
          "_dis": "58 42",
          "kind": "other",
          "name": "Entries with translation boxes",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "51 49",
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "50 50",
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "50 50",
          "kind": "other",
          "name": "Terms with French translations",
          "parents": [],
          "source": "w+disamb"
        }
      ],
      "glosses": [
        "The union of a finite sequence of surfaces taken over a disk common to every adjacent pair of the sequence, such that the boundary of the disk comprises some even number of closed arcs, disjoint except at their endpoints, which are alternatingly subarcs of the two surfaces' boundaries."
      ],
      "id": "en-Murasugi_sum-en-noun-vQeZdgSV",
      "links": [
        [
          "union",
          "union"
        ],
        [
          "surface",
          "surface"
        ],
        [
          "disk",
          "disk"
        ],
        [
          "boundary",
          "boundary"
        ],
        [
          "closed",
          "closed"
        ],
        [
          "arc",
          "arc"
        ],
        [
          "subarc",
          "subarc"
        ]
      ],
      "translations": [
        {
          "_dis1": "82 18",
          "code": "fr",
          "lang": "French",
          "sense": "union of a finite sequence of surfaces taken over a disk",
          "tags": [
            "feminine"
          ],
          "word": "somme de Murasugi"
        }
      ]
    },
    {
      "categories": [
        {
          "_dis": "53 47",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        },
        {
          "_dis": "51 49",
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "50 50",
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "50 50",
          "kind": "other",
          "name": "Terms with French translations",
          "parents": [],
          "source": "w+disamb"
        }
      ],
      "glosses": [
        "The union of links formed by taking such a sum of their Seifert surfaces and taking the boundary of the result."
      ],
      "hyponyms": [
        {
          "_dis1": "0 100",
          "word": "plumbing"
        }
      ],
      "id": "en-Murasugi_sum-en-noun-Ueh16R7w",
      "links": [
        [
          "link",
          "link"
        ],
        [
          "Seifert surface",
          "Seifert surface"
        ]
      ],
      "translations": [
        {
          "_dis1": "15 85",
          "code": "fr",
          "lang": "French",
          "sense": "union of links",
          "tags": [
            "feminine"
          ],
          "word": "somme de Murasugi"
        }
      ]
    }
  ],
  "word": "Murasugi sum"
}
{
  "categories": [
    "English countable nouns",
    "English entries with incorrect language header",
    "English eponyms",
    "English lemmas",
    "English multiword terms",
    "English nouns",
    "Entries with translation boxes",
    "Pages with 1 entry",
    "Pages with entries",
    "Terms with French translations"
  ],
  "etymology_text": "After Kunio Murasugi.",
  "forms": [
    {
      "form": "Murasugi sums",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Murasugi sum (plural Murasugi sums)",
      "name": "en-noun"
    }
  ],
  "hyponyms": [
    {
      "word": "plumbing"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "glosses": [
        "The union of a finite sequence of surfaces taken over a disk common to every adjacent pair of the sequence, such that the boundary of the disk comprises some even number of closed arcs, disjoint except at their endpoints, which are alternatingly subarcs of the two surfaces' boundaries."
      ],
      "links": [
        [
          "union",
          "union"
        ],
        [
          "surface",
          "surface"
        ],
        [
          "disk",
          "disk"
        ],
        [
          "boundary",
          "boundary"
        ],
        [
          "closed",
          "closed"
        ],
        [
          "arc",
          "arc"
        ],
        [
          "subarc",
          "subarc"
        ]
      ]
    },
    {
      "glosses": [
        "The union of links formed by taking such a sum of their Seifert surfaces and taking the boundary of the result."
      ],
      "links": [
        [
          "link",
          "link"
        ],
        [
          "Seifert surface",
          "Seifert surface"
        ]
      ]
    }
  ],
  "translations": [
    {
      "code": "fr",
      "lang": "French",
      "sense": "union of a finite sequence of surfaces taken over a disk",
      "tags": [
        "feminine"
      ],
      "word": "somme de Murasugi"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "union of links",
      "tags": [
        "feminine"
      ],
      "word": "somme de Murasugi"
    }
  ],
  "word": "Murasugi sum"
}

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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-03-21 from the enwiktionary dump dated 2025-03-02 using wiktextract (db0bec0 and 633533e). 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.

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