diffeomorphism
111Vector field — In mathematics a vector field is a construction in vector calculus which associates a vector to every point in a (locally) Euclidean space.Vector fields are often used in physics to model, for example, the speed and direction of a moving fluid… …
112Stereographic projection — In geometry, the stereographic projection is a particular mapping (function) that projects a sphere onto a plane. The projection is defined on the entire sphere, except at one point mdash; the projection point. Where it is defined, the mapping is …
113Diffeology — In mathematics, a diffeology generalizes the concept of smooth maps, which can be naturally defined for vector spaces. The corresponding category is strongly stable under many categorical operations. The concept was first introduced by Kuo Tsaï… …
114World line — In physics, the world line of an object is the unique path of that object as it travels through 4 dimensional spacetime.The concept of world line is distinguished from the concept of orbit or trajectory (such as an orbit in space or a trajectory… …
115Spin network — In physics, a spin network is a type of diagram which can be used to represent states and interactions between particles and fields in quantum physics. From a mathematical perspective, the diagrams are a concise way to represent multilinear… …
116Riemann sphere — The Riemann sphere can be visualized as the complex number plane wrapped around a sphere (by some form of stereographic projection – details are given below). In mathematics, the Riemann sphere (or extended complex plane), named after the 19th… …
117Riemannian geometry — Elliptic geometry is also sometimes called Riemannian geometry. Riemannian geometry is the branch of differential geometry that studies Riemannian manifolds, smooth manifolds with a Riemannian metric , i.e. with an inner product on the tangent… …
118Geometrization 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… …
119Differential form — In the mathematical fields of differential geometry and tensor calculus, differential forms are an approach to multivariable calculus that is independent of coordinates. Differential forms provide a better[further explanation needed] definition… …
120Local homeomorphism — In topology, a local homeomorphism is a map from one topological space to another that respects locally the topological structure of the two spaces. More precisely, a continuous map f : X rarr; Y is a local homeomorphism if for every point x of X …
