- topological subspace
- мат. топологическое подпространство
Большой англо-русский и русско-английский словарь. 2001.
topological subspace
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Topological space — Topological spaces are mathematical structures that allow the formal definition of concepts such as convergence, connectedness, and continuity. They appear in virtually every branch of modern mathematics and are a central unifying notion. The… … Wikipedia
Subspace topology — In topology and related areas of mathematics, a subspace of a topological space X is a subset S of X which is equipped with a natural topology induced from that of X called the subspace topology (or the relative topology, or the induced topology … Wikipedia
Topological ring — In mathematics, a topological ring is a ring R which is also a topological space such that both the addition and the multiplication are continuous as maps : R times; R → R ,where R times; R carries the product topology. General comments The group … Wikipedia
Topological vector space — In mathematics, a topological vector space is one of the basic structures investigated in functional analysis. As the name suggests the space blends a topological structure (a uniform structure to be precise) with the algebraic concept of a… … Wikipedia
Topological group — Concepts in group theory category of groups subgroups, normal subgroups group homomorphisms, kernel, image, quotient direct product, direct sum semidirect product, wreath product … Wikipedia
Topological manifold — In mathematics, a topological manifold is a Hausdorff topological space which looks locally like Euclidean space in a sense defined below. Topological manifolds form an important class of topological spaces with applications throughout… … Wikipedia
subspace — /sub spays /, n. 1. a smaller space within a main area that has been divided or subdivided: The jewelry shop occupies a subspace in the hotel s lobby. 2. Math. a. a subset of a given space. b. Also called linear manifold. a subset of a vector… … Universalium
topological space — noun (mathematics) any set of points that satisfy a set of postulates of some kind assume that the topological space is finite dimensional • Syn: ↑mathematical space • Topics: ↑mathematics, ↑math, ↑maths … Useful english dictionary
subspace — noun Date: 1926 a subset of a space; especially one that has the essential properties (as those of a vector space or topological space) of the including space … New Collegiate Dictionary
subspace — noun a space that is contained within another space (Freq. 8) • Hypernyms: ↑mathematical space, ↑topological space … Useful english dictionary
Category of topological spaces — In mathematics, the category of topological spaces, often denoted Top, is the category whose objects are topological spaces and whose morphisms are continuous maps. This is a category because the composition of two continuous maps is again… … Wikipedia
