space curve
31Rational normal curve — In mathematics, the rational normal curve is a smooth, rational curve C of degree n in projective n space mathbb{P}^n. It is a simple example of a projective variety. The twisted cubic is the special case of n =3.DefinitionThe rational normal… …
32Hilbert curve — A Hilbert curve (also known as a Hilbert space filling curve) is a continuous fractal space filling curve first described by the German mathematician David Hilbert in 1891. [D. Hilbert: Über die stetige Abbildung einer Linie auf ein Flächenstück …
33Connected space — For other uses, see Connection (disambiguation). Connected and disconnected subspaces of R² The green space A at top is simply connected whereas the blue space B below is not connected …
34Sierpiński curve — Sierpiński curves are a recursively defined sequence of continuous closed plane fractal curves discovered by Wacław Sierpiński, which in the limit n ightarrow infty completely fill the unit square: thus their limit curve, also called the… …
35Pseudoholomorphic curve — In mathematics, specifically in topology and geometry, a pseudoholomorphic curve (or J holomorphic curve) is a smooth map from a Riemann surface into an almost complex manifold that satisfies the Cauchy Riemann equation. Introduced in 1985 by… …
36Metric expansion of space — Physical cosmology Universe · Big Bang …
37Locally connected space — In this topological space, V is a neighbourhood of p and it contains a connected neighbourhood (the dark green disk) that contains p. In topology and other branches of mathematics, a topological space X is locally connected if every point admits… …
38Topologist's sine curve — In the branch of mathematics known as topology, the topologist s sine curve is a topological space with several interesting properties that make it an important textbook example.DefinitionThe topologist s sine curve can be defined as the closure… …
39Modular curve — In number theory and algebraic geometry, a modular curve Y(Γ) is a Riemann surface, or the corresponding algebraic curve, constructed as a quotient of the complex upper half plane H by the action of a congruence subgroup Γ of the modular group of …
40Jordan curve theorem — Illustration of the Jordan curve theorem. The Jordan curve (drawn in black) divides the plane into an inside region (light blue) and an outside region (pink). In topology, a Jordan curve is a non self intersecting continuous loop in the plane.… …
