Phrase guide

Murasugi sum

noun · 2 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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1

noun

Meaning 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.

Definition source: English Wiktionary via Wiktextract

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

2

noun

Meaning 2

The union of links formed by taking such a sum of their Seifert surfaces and taking the boundary of the result.

Definition source: English Wiktionary via Wiktextract

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

After Kunio Murasugi.

Across languages

Translations

2 source translations are retained for this English entry.

  • French: somme de Murasugi — union of a finite sequence of surfaces taken over a disk
  • French: somme de Murasugi — union of links