topological type
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Topological data analysis — is a new area of study aimed at having applications in areas such as data mining and computer vision. The main problems are (1) how one infers high dimensionalstructure from low dimensional representations; and (2) how one assembles discrete… … Wikipedia
Topological 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… … Wikipedia
Topological defect — Also see base concepts: topology, differential equations, quantum theory condensed matter physics .In mathematics and physics, a topological soliton or a topological defect is a solution of a system of partial differential equations or of a… … Wikipedia
Topological 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… … Wikipedia
Topological order — In physics, topological order is a new kind of order (a newkind of organization of particles) in a quantum state that is beyond theLandau symmetry breaking description. It cannot be described by local order parameters and long rangecorrelations.… … Wikipedia
Topological game — A topological game is an infinite positional game of perfect information played between two players on a topological space. Players choose objects with topological properties such as points, open sets, closed sets and open coverings. Time is… … Wikipedia
Topological sorting — Dependency resolution redirects here. For other uses, see Dependency (disambiguation). In computer science, a topological sort or topological ordering of a directed graph is a linear ordering of its vertices such that, for every edge uv, u comes… … Wikipedia
Topological index — For topological index in mathematics, see Atiyah–Singer index theorem. In the fields of chemical graph theory, molecular topology, and mathematical chemistry, a topological index also known as a connectivity index is a type of a molecular… … Wikipedia
Type (model theory) — In model theory and related areas of mathematics, a type is a set of first order formulas in a language L with free variables x1, x2,…, xn which are true of a sequence of elements of an L structure . Loosely speaking, types describe possible… … Wikipedia
Subshift of finite type — In mathematics, subshifts of finite type are used to model dynamical systems, and in particular are the objects of study in symbolic dynamics and ergodic theory. They also describe the set of all possible sequences executed by a finite state… … Wikipedia
Bogomolov–Miyaoka–Yau inequality — In mathematics, the Bogomolov–Miyaoka–Yau inequality is the inequality between Chern numbers of compact complex surfaces of general type. Its major interest is the way it restricts the possible topological types of the underlying real 4 manifold … Wikipedia
