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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...

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...

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

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

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...

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...

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

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...

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

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

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...

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...

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...

newly created Small Aircraft Engine Department showed Northrop a relatively compact engine, around 400 lb installed weight, capable of 2,500 lb of thrust...

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

a necessary and sufficient condition for a set of functions to be relatively compact in an Lp space. It can be thought of as an Lp version of the Arzelà–Ascoli...

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

f} has a fixed point. (A compact mapping in this context is one for which the image of every bounded set is relatively compact.) The theorem was conjectured...

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...