- Heegaard decomposition
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Heegaard decomposition
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Heegaard splitting — noun The decomposition of a 3 manifold as two handlebodies unioned along their boundaries. Syn: Heegaard decomposition … Wiktionary
Heegaard splitting — In the mathematical field of geometric topology, a Heegaard splitting is a decomposition of a compact oriented 3 manifold that results from dividing it into two handlebodies. The importance of Heegaard splittings has grown in recent years as more … Wikipedia
Handle decomposition — In mathematics, a handle decomposition of an n manifold M is a representation of that manifold as an exhaustion:M 0 subset M 1 subset dots subset Mwhere each M i is obtained from M {i 1}by attaching a n i handle. Handle decompositions are never… … Wikipedia
Manifold decomposition — In topology, a branch of mathematics, a manifold M may be decomposed or split by writing M as a combination of smaller pieces. When doing so, one must specify both what those pieces are and how they are put together to form M. Manifold… … Wikipedia
3-manifold — In mathematics, a 3 manifold is a 3 dimensional manifold. The topological, piecewise linear, and smooth categories are all equivalent in three dimensions, so little distinction is usually made in whether we are dealing with say, topological 3… … Wikipedia
List of geometric topology topics — This is a list of geometric topology topics, by Wikipedia page. See also: topology glossary List of topology topics List of general topology topics List of algebraic topology topics Publications in topology Contents 1 Low dimensional topology 1.1 … Wikipedia
Géométrie de contact — Structure standard sur ℝ3 : champ de plans La géométrie de contact est la partie de la géométrie différentielle qui étudie les formes et structures de contact. Elle entretient d étroits liens avec la géométrie symplectique, la géométrie… … Wikipédia en Français
Trigenus — In low dimensional topology, the trigenus is an invariant consisting of a triplet:(g 1,g 2,g 3) assigned to closed 3 manifolds. The definition is by minimizing the genera of three orientable handle bodies mdash; with no intersection between their … Wikipedia
Forme de contact — Géométrie de contact Structure standard sur ℝ3 : champ de plans La géométrie de contact est la partie de la géométrie différentielle qui étudie les formes et structures de contact. Elle entretient d étroits liens avec la géométrie… … Wikipédia en Français
Geometrie de contact — Géométrie de contact Structure standard sur ℝ3 : champ de plans La géométrie de contact est la partie de la géométrie différentielle qui étudie les formes et structures de contact. Elle entretient d étroits liens avec la géométrie… … Wikipédia en Français
