- topological boundary
- мат.топологическая граница
English-Russian scientific dictionary. 2008.
topological boundary
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Boundary (topology) — For a different notion of boundary related to manifolds, see that article. In topology, the boundary of a subset S of a topological space X is the set of points which can be approached both from S and from the outside of S . More formally, it is… … Wikipedia
Boundary — (plural: boundaries) may refer to: Border in psychology, Personal boundaries in mathematics, Boundary (topology), the closure minus the interior of a subset of a topological space; an edge in the topology of manifolds, as in the case of a… … Wikipedia
Topological 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… … 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
Boundary representation — In solid modeling and computer aided design, boundary representation often abbreviated as B rep or BREP is a method for representing shapes using the limits. A solid is represented as a collection of connected surface elements, the boundary… … 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 skeleton — In shape analysis, skeleton (or topological skeleton) of a shape is a thin version of that shape that is equidistant to its boundaries. The skeleton usually emphasizes geometrical and topological properties of the shape, such as its connectivity … 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 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 entropy (in physics) — The topological entanglement entropy, usually denoted by γ , is a number characterizing many particle states that possess topological order. The short form topological entropy is often used, although the same name in ergodic theory refers to an… … Wikipedia
Topological divisor of zero — In mathematics, in a topological algebra A , zin A is a topological divisor of zero if there exists a neighbourhood U of zero and a net (x i) {iin I} with forall iin I, x i in Asetminus U and zx i longrightarrow Oin A. If the topological algebra… … Wikipedia
