- real compactification
- мат. вещественная компактификация
Большой англо-русский и русско-английский словарь. 2001.
real compactification
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Compactification (mathematics) — In mathematics, compactification is the process or result of making a topological space compact.[1] The methods of compactification are various, but each is a way of controlling points from going off to infinity by in some way adding points at… … Wikipedia
Real projective line — In real analysis, the real projective line (also called the one point compactification of the real line, or the projectively extended real numbers ), is the set mathbb{R}cup{infty}, also denoted by widehat{mathbb{R and by mathbb{R}P^1.The symbol… … Wikipedia
Bohr compactification — In mathematics, the Bohr compactification of a topological group G is a compact Hausdorff topological group H that may be canonically associated to G . Its importance lies in the reduction of the theory of uniformly almost periodic functions on G … Wikipedia
Calabi–Yau manifold — In mathematics, Calabi ndash;Yau manifolds are compact Kähler manifolds whose canonical bundle is trivial. They were named Calabi ndash;Yau spaces by physicists in 1985, [cite journal | author = Candelas, Horowitz, Strominger and Witten | year =… … 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
3-sphere — Stereographic projection of the hypersphere s parallels (red), meridians (blue) and hypermeridians (green). Because this projection is conformal, the curves intersect each other orthogonally (in the yellow points) as in 4D. All curves are circles … Wikipedia
Pontryagin duality — In mathematics, in particular in harmonic analysis and the theory of topological groups, Pontryagin duality explains the general properties of the Fourier transform. It places in a unified context a number of observations about functions on the… … Wikipedia
Infinity — In mathematics, infinity is often used in contexts where it is treated as if it were a number (i.e., it counts or measures things: an infinite number of terms ) but it is a different type of number from the real numbers. Infinity is related to… … Wikipedia
Order topology — In mathematics, an order topology is a certain topology that can be defined on any totally ordered set. It is a natural generalization of the topology of the real numbers to arbitrary totally ordered sets. If X is a totally ordered set, the order … Wikipedia
Long line (topology) — In topology, the long line (or Alexandroff line) is a topological space analogous to the real line, but much longer. Because it behaves locally just like the real line, but has different large scale properties, it serves as one of the basic… … Wikipedia
