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a relatively compact subspace (or relatively compact subset, or precompact subset) Y of a topological space X is a subset whose closure is compact. Every...

point of X has a compact neighbourhood. 2. every point of X has a closed compact neighbourhood. 2′. every point of X has a relatively compact neighbourhood...

contain them Compact operator, a linear operator that takes bounded subsets to relatively compact subsets, in functional analysis Compact space, a topological...

topology, compactness is a property that seeks to generalize the notion of a closed and bounded subset of Euclidean space. The idea is that a compact space...

pointwise relatively compact and closed. Here pointwise relatively compact means that for each x ∈ X, the set Fx = { f (x) :  f  ∈ F} is relatively compact in...

bounded subsets of X {\displaystyle X} to relatively compact subsets of Y {\displaystyle Y} (subsets with compact closure in Y {\displaystyle Y} ). Such...

substantially heavier than the typical .25 automatic pistol, though its relatively compact size and powerful cartridge made it an option for a defensive weapon...

Precompact set may refer to: Relatively compact subspace, a subset whose closure is compact Totally bounded set, a subset that can be covered by finitely...

In functional analysis, compact operators are linear operators on Banach spaces that map bounded sets to relatively compact sets. In the case of a Hilbert...

term precompact (or pre-compact) is sometimes used with the same meaning, but precompact is also used to mean relatively compact. These definitions coincide...

compact. Thus the closure of a compact subset of a TVS is compact (said differently, all compact sets are relatively compact), which is not guaranteed for...

seeking to add power to their existing platform" due to the engine's relatively compact size and light weight. LS swaps have been performed since the introduction...

mounted on horseback; it provided the rider with a very long reach in a relatively compact and portable format that was suitable to carry as a sidearm (the primary...

designated marksmen with a versatile, accurate, lightweight, and relatively compact weapon chambered in 5.56×45mm NATO. The concept of an accurized rifle...

injuries. Although Winwick is next to two motorways, it remains a relatively compact village set in a rural location. The village also includes a council...

the Ricoh GR incorporated an APS-C image sensor, while retaining a relatively compact form factor. Coupled with its retractable lens, the GR is potentially...

construction and a coil-sprung independent front suspension. The relatively compact Niva is considered a predecessor to the crossover SUV and combines...

certain sets of Riemannian manifolds are relatively compact in the Gromov-Hausdorff metric Gromov's compactness theorem (topology) on the existence of limits...

almost all facets of Surinamese cuisine. The plant is prolific, has relatively compact growth, dislikes cool sites, and will also grow indoors.[citation...

46°18′34″N 6°4′37″E / 46.30944°N 6.07694°E / 46.30944; 6.07694 The Compact Muon Solenoid (CMS) experiment is one of two large general-purpose particle...