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on compact subsets of

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  • Compact — as used in politics may refer broadly to a pact or treaty; in more specific cases it may refer to: Interstate compact Compact government, a type of colonial rule utilized in British North America Compact of Free Association whereby the sovereign… …   Wikipedia

  • Compact (disambiguation) — Compact may mean: * Compact (newspaper), a broadsheet quality newspaper printed in a tabloid format. * Compact (soap opera), a 1960s British soap opera. * a diplomatic contract or covenant among parties, sometimes known as a pact, treaty, or an… …   Wikipedia

  • 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

  • Compact element — In the mathematical area of order theory, the compact or finite elements of a partially ordered set are those elements that cannot be subsumed by a supremum of any non empty directed set that does not already contain members above the compact… …   Wikipedia

  • Locally compact space — In topology and related branches of mathematics, a topological space is called locally compact if, roughly speaking, each small portion of the space looks like a small portion of a compact space.Formal definitionLet X be a topological space. The… …   Wikipedia

  • Relatively compact subspace — In mathematics, a relatively compact subspace (or relatively compact subset) Y of a topological space X is a subset whose closure is compact.Since closed subsets of compact spaces are compact, every set in a compact space is relatively compact.… …   Wikipedia

  • Random compact set — In mathematics, a random compact set is essentially a compact set valued random variable. Random compact sets are useful in the study of attractors for random dynamical systems. Definition Let (M,d) be a complete separable metric space. Let… …   Wikipedia

  • Weakly compact cardinal — In mathematics, a weakly compact cardinal is a certain kind of cardinal number introduced by harvtxt|Erdös|Tarski|1961; weakly compact cardinals are large cardinals, meaning that their existence can neither be proven nor disproven from the… …   Wikipedia

  • Continuous functions on a compact Hausdorff space — In mathematical analysis, and especially functional analysis, a fundamental role is played by the space of continuous functions on a compact Hausdorff space with values in the real or complex numbers. This space, denoted by C(X), is a vector… …   Wikipedia

  • Hausdorff distance — The Hausdorff distance, or Hausdorff metric, measures how far two compact non empty subsets of a metric space are from each other. It is named after Felix Hausdorff.Informally, the Hausdorff distance between two sets of points, is the longest… …   Wikipedia

  • Haar measure — In mathematical analysis, the Haar measure is a way to assign an invariant volume to subsets of locally compact topological groups and subsequently define an integral for functions on those groups.This measure was introduced by Alfréd Haar, a… …   Wikipedia

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