Heegaard decomposition

noun

The decomposition of a 3-manifold as two handlebodies unioned along their boundaries.

Meanings

nounHeegaard decomposition (plural Heegaard decompositions)

plural Heegaard decompositions

  1. The decomposition of a 3-manifold as two handlebodies unioned along their boundaries.

    Synonyms: Heegaard splitting

Synonyms & antonyms

nounThe decomposition of a 3-manifold as two handlebodies unioned along their boundaries.

Origin

Named after Poul Heegaard, Danish mathematician.

Full word history & related roots →
Cite this entry
APA

Heegaard decomposition. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/Heegaard%20decomposition

MLA

“Heegaard decomposition.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Heegaard%20decomposition. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “Heegaard decomposition,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/Heegaard%20decomposition.

Source: Heegaard decomposition on Wiktionary, CC BY-SA 4.0.