relatively compact set

  • 1Relatively 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.… …

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  • 2Compact (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… …

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  • 3Compact — 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… …

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  • 4Compact 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… …

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  • 5Compact 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… …

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  • 6Compact operator on Hilbert space — In functional analysis, compact operators on Hilbert spaces are a direct extension of matrices: in the Hilbert spaces, they are precisely the closure of finite rank operators in the uniform operator topology. As such, results from matrix theory… …

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  • 7Compact Cassette — A TDK D C60 cassette, a common speech quality tape with a 60 minute playing time, in a housing similar to that of the original Compact Cassette specification …

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  • 8Compact Forest Proposal — Studio album by Brian Eno Released Feb. 2001 …

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  • 9Precompact set — In topology and related branches of mathematics, a precompact set, or pre compact set, may be either: * A relatively compact set; or * A totally bounded set.(These are equivalent in a complete metric space.) …

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  • 10Bounded set (topological vector space) — In functional analysis and related areas of mathematics, a set in a topological vector space is called bounded or von Neumann bounded, if every neighborhood of the zero vector can be inflated to include the set. Conversely a set which is not… …

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