- topological product
- мат. топологическое произведение
Большой англо-русский и русско-английский словарь. 2001.
topological product
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Product topology — In topology and related areas of mathematics, a product space is the cartesian product of a family of topological spaces equipped with a natural topology called the product topology. This topology differs from another, perhaps more obvious,… … Wikipedia
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
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 tensor product — In mathematics, there are usually many different ways to construct a topological tensor product of two topological vector spaces. For Hilbert spaces or nuclear spaces there is a simple well behaved theory of tensor products (see Tensor product of … 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 string theory — In theoretical physics, topological string theory is a simplified version of string theory. The operators in topological string theory represent the algebra of operators in the full string theory that preserve a certain amount of supersymmetry.… … 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 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
Product (category theory) — In category theory, the product of two (or more) objects in a category is a notion designed to capture the essence behind constructions in other areas of mathematics such as the cartesian product of sets, the direct product of groups, the direct… … Wikipedia
Topological quantum field theory — A topological quantum field theory (or topological field theory or TQFT) is a quantum field theory which computes topological invariants.Although TQFTs were invented by physicists (notably Edward Witten), they are primarily of mathematical… … Wikipedia
Topological quantum computer — A topological quantum computer is a theoretical quantum computer that employs two dimensional quasiparticles called anyons, whose world lines cross over one another to form braids in a three dimensional spacetime (i.e., one temporal plus two… … Wikipedia
