Перевод: с английского на русский

с русского на английский

metric compactness

См. также в других словарях:

  • Metric space — In mathematics, a metric space is a set where a notion of distance (called a metric) between elements of the set is defined. The metric space which most closely corresponds to our intuitive understanding of space is the 3 dimensional Euclidean… …   Wikipedia

  • Generalised metric — In mathematics, the concept of a generalised metric is a generalisation of that of a metric, in which the distance is not a real number but taken from an arbitrary ordered field.In general, when we define metric space the distance function is… …   Wikipedia

  • Measure of non-compactness — In functional analysis, two measures of non compactness are commonly used; these associate numbers to sets in such a way that compact sets all get the measure 0, and other sets get measures that are bigger according to how far they are removed… …   Wikipedia

  • Mumford's compactness theorem — In mathematics, Mumford s compactness theorem states that the space of compact Riemann surfaces of fixed genus g > 1 with no closed geodesics of length less than some fixed ε > 0 in the Poincaré metric is compact. It was …   Wikipedia

  • Helly metric — In game theory, the Helly metric is used to assess the distance between two strategies. It is named for Eduard Helly. Consider a game , between player I and II. Here, and are the sets of pure strategies for players I and II respectively; and is… …   Wikipedia

  • Gromov's compactness theorem (geometry) — For Gromov s compactness theorem in symplectic topology, see that article. In Riemannian geometry, Gromov s (pre)compactness theorem states that the set of Riemannian manifolds of a given dimension, with Ricci curvature ≥ c and diameter ≤ D is… …   Wikipedia

  • sequential compactness — noun The property of a metric space that every sequence has a convergent subsequence …   Wiktionary

  • Compact space — Compactness redirects here. For the concept in first order logic, see compactness theorem. In mathematics, specifically general topology and metric topology, a compact space is an abstract mathematical space whose topology has the compactness… …   Wikipedia

  • Heine–Borel theorem — In the topology of metric spaces the Heine–Borel theorem, named after Eduard Heine and Émile Borel, states:For a subset S of Euclidean space R n , the following two statements are equivalent: * S is closed and bounded *every open cover of S has a …   Wikipedia

  • Limit point compact — In mathematics, particularly topology, limit point compactness is a certain condition on a topological space which generalizes some features of compactness. In a metric space, limit point compactness, compactness, and sequential compactness are… …   Wikipedia

  • Totally bounded space — In topology and related branches of mathematics, a totally bounded space is a space that can be covered by finitely many subsets of any fixed size (where the meaning of size depends on the given context). The smaller the size fixed, the more… …   Wikipedia

Поделиться ссылкой на выделенное

Прямая ссылка:
Нажмите правой клавишей мыши и выберите «Копировать ссылку»