topological manifold
1Topological manifold — In mathematics, a topological manifold is a Hausdorff topological space which looks locally like Euclidean space in a sense defined below. Topological manifolds form an important class of topological spaces with applications throughout… …
2Manifold — 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),… …
3Topological space — Topological spaces are mathematical structures that allow the formal definition of concepts such as convergence, connectedness, and continuity. They appear in virtually every branch of modern mathematics and are a central unifying notion. The… …
4Topological string theory — In theoretical physics, topological string theory is a simplified version of string theory. The operators in topological string theory represent the algebra of operators in the full string theory that preserve a certain amount of supersymmetry.… …
5Topological quantum field theory — A topological quantum field theory (or topological field theory or TQFT) is a quantum field theory which computes topological invariants.Although TQFTs were invented by physicists (notably Edward Witten), they are primarily of mathematical… …
6manifold — manifoldly, adv. manifoldness, n. /man euh fohld /, adj. 1. of many kinds; numerous and varied: manifold duties. 2. having numerous different parts, elements, features, forms, etc.: a manifold program for social reform. 3. using, functioning with …
7Topological modular forms — In mathematics, the spectrum of topological modular forms (also known as tmf ) describes a generalized cohomology theory whose coefficient ring is similar to the graded ring of holomorphic modular forms with integral cusp expansions. These rings… …
8Topological quantum number — In physics, a topological quantum number is any quantity, in a physical theory, that takes on only one of a discrete set of values, due to topological considerations. Most commonly, topological quantum numbers are topological invariants… …
9manifold — I. adjective Etymology: Middle English, from Old English manigfeald, from manig many + feald fold Date: before 12th century 1. a. marked by diversity or variety b. many 2. comprehending or uniting various features ; multifarious 3 …
10topological space — noun (mathematics) any set of points that satisfy a set of postulates of some kind assume that the topological space is finite dimensional • Syn: ↑mathematical space • Topics: ↑mathematics, ↑math, ↑maths …
