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relatively compact space

См. также в других словарях:

  • 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

  • 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

  • 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

  • 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

  • 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 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… …   Wikipedia

  • compact — compact1 compactedly, adv. compactedness, n. compactly, adv. compactness, n. adj. /keuhm pakt , kom , kom pakt/; v. /keuhm pakt /; n. /kom pakt/, adj. 1. joined or packed together; closely and firmly united; dense; solid: compact soil …   Universalium

  • compact — I com•pact adj. [[t]kəmˈpækt, kɒm , ˈkɒm pækt[/t]] v. [[t]kəmˈpækt[/t]] n. [[t]ˈkɒm pækt[/t]] adj. 1) joined or packed together; dense; solid: compact soil[/ex] 2) arranged within a relatively small space: a compact kitchen[/ex] 3) designed to be …   From formal English to slang

  • compact — I. adjective /kɒmˈpækt / (say kom pakt), /ˈkɒmpækt / (say kompakt) 1. joined or packed together; closely and firmly united; dense; solid. 2. arranged within a relatively small space. 3. expressed concisely; pithy; terse; not diffuse. –verb (t)… …  

  • Compact 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 …   Wikipedia

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