atoroidal
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Atoroidal — In mathematics, there are three definitions for atoroidal as applied to 3 manifolds: *A 3 manifold is (geometrically) atoroidal if it does not contain an embedded, non boundary parallel, incompressible torus. *A 3 manifold is (geometrically)… … Wikipedia
Atoroidal — In der dreidimensionalen Topologie beschreibt Atoroidalität eine Beziehung zwischen dem Rand einer Mannigfaltigkeit und der Mannigfaltigkeit selbst. Eine irreduzible Mannigfaltigkeit M heißt geometrisch atoroidal, wenn sich jeder in M… … Deutsch Wikipedia
JSJ decomposition — In mathematics, the JSJ decomposition, also known as the toral decomposition, is a topological construct given by the following theorem: Irreducible orientable closed (i.e., compact and without boundary) 3 manifolds have a unique (up to isotopy)… … Wikipedia
Geometrization conjecture — Thurston s geometrization conjecture states that compact 3 manifolds can be decomposed canonically into submanifolds that have geometric structures. The geometrization conjecture is an analogue for 3 manifolds of the uniformization theorem for… … Wikipedia
Haken manifold — In mathematics, a Haken manifold is a compact, P² irreducible 3 manifold that contains a two sided incompressible surface. Sometimes one considers only orientable Haken manifolds, in which case a Haken manifold is a compact, orientable,… … Wikipedia
Orbifold — This terminology should not be blamed on me. It was obtained by a democratic process in my course of 1976 77. An orbifold is something with many folds; unfortunately, the word “manifold” already has a different definition. I tried “foldamani”,… … Wikipedia
Toroidal — may refer to:*Toroidal inductors and transformers, a type of electrical device *Toroid, a doughnut shaped object whose surface is a torus *Toroidal and poloidal, directions in magnetohydrodynamics *Toroidal coordinates, a three dimensional… … 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
Hyperbolic 3-manifold — A hyperbolic 3 manifold is a 3 manifold equipped with a complete Riemannian metric of constant sectional curvature 1. In other words, it is the quotient of three dimensional hyperbolic space by a subgroup of hyperbolic isometries acting freely… … Wikipedia
List of mathematics articles (A) — NOTOC A A Beautiful Mind A Beautiful Mind (book) A Beautiful Mind (film) A Brief History of Time (film) A Course of Pure Mathematics A curious identity involving binomial coefficients A derivation of the discrete Fourier transform A equivalence A … Wikipedia
