orientable
11Genus (mathematics) — In mathematics, genus has a few different, but closely related, meanings:TopologyOrientable surfaceThe genus of a connected, orientable surface is an integer representing the maximum number of cuttings along closed simple curves without rendering …
12Fundamental class — For the fundamental class in class field theory see class formation. In mathematics, the fundamental class is a homology class [M] associated to an oriented manifold M, which corresponds to the whole manifold , and pairing with which corresponds… …
13Lickorish–Wallace theorem — In mathematics, the Lickorish–Wallace theorem in the theory of 3 manifolds states that any closed, orientable, connected 3 manifold may be obtained by performing Dehn surgery on a framed link in the 3 sphere with +/ 1 surgery coefficients.… …
14TOPOLOGIE - Topologie différentielle — La topologie différentielle, que l’on devrait plutôt appeler «topologie des variétés », est une discipline mathématique assez ancienne par les problèmes qu’elle cherche à résoudre: ils étaient presque tous posés au début du siècle; mais ses… …
15orienter — [ ɔrjɑ̃te ] v. tr. <conjug. : 1> • 1680; de Orient I ♦ 1 ♦ Vx Disposer (un édifice) en direction de l est. 2 ♦ Mod. Disposer (qqch.) par rapport aux points cardinaux, à une direction, un objet déterminé. Orienter une maison au sud. ⇒… …
16Geometrization 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… …
17Fundamental polygon — In mathematics, each closed surface in the sense of geometric topology can be constructed from an even sided oriented polygon, called a fundamental polygon, by pairwise identification of its edges. Fundamental parallelogram defined by a pair of… …
18Haken 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,… …
19Manifold — For other uses, see Manifold (disambiguation). The sphere (surface of a ball) is a two dimensional manifold since it can be represented by a collection of two dimensional maps. In mathematics (specifically in differential geometry and topology),… …
20Volume form — In mathematics, a volume form is a nowhere zero differential n form on an n manifold. Every volume form defines a measure on the manifold, and thus a means to calculate volumes in a generalized sense. A manifold has a volume form if and only if… …
