compact set

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• 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

• sequentially compact set — Math. a set in which every sequence has a subsequence that converges to a point of the set. * * * …   Universalium

• sequentially compact set — Math. a set in which every sequence has a subsequence that converges to a point of the set …   Useful english dictionary

• countably compact set — Math. a set for which every cover consisting of a countable number of sets has a subcover consisting of a finite number of sets. * * * …   Universalium

• countably compact set — Math. a set for which every cover consisting of a countable number of sets has a subcover consisting of a finite number of sets …   Useful english dictionary

• 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 operator — In functional analysis, a branch of mathematics, a compact operator is a linear operator L from a Banach space X to another Banach space Y, such that the image under L of any bounded subset of X is a relatively compact subset of Y. Such an… …   Wikipedia

• Compact convergence — In mathematics compact convergence (or uniform convergence on compact sets) is a type of convergence which generalizes the idea of uniform convergence. It is associated with the compact open topology. Contents 1 Definition 2 Examples 3 Properties …   Wikipedia

• compact space — noun Any topological subset of Euclidean space that is a compact set …   Wiktionary

• 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 — 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