- compact torus
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English-russian dictionary of physics. 2013.
compact torus
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Compact toroid — Compact toroids are a class of toroidal plasma configurations that are self stable, and whose configuration does not require magnet coils running through the center of the toroid. They are studied primarily in the field of fusion energy, where… … Wikipedia
Torus — Not to be confused with Taurus (disambiguation). This article is about the surface and mathematical concept of a torus. For other uses, see Torus (disambiguation). A torus As the distance to th … Wikipedia
Compact group — In mathematics, a compact (topological, often understood) group is a topological group whose topology is compact. Compact groups are a natural generalisation of finite groups with the discrete topology and have properties that carry over in… … Wikipedia
Maximal torus — In the mathematical theory of compact Lie groups a special role is played by torus subgroups, in particular by the maximal torus subgroups. A torus in a Lie group G is a compact, connected, abelian Lie subgroup of G (and therefore isomorphic to… … Wikipedia
Algebraic torus — In mathematics, an algebraic torus is a type of commutative affine algebraic group. These groups were named by analogy with the theory of tori in Lie group theory (see maximal torus). The theory of tori is in some sense opposite to that of… … Wikipedia
Novikov's compact leaf theorem — In mathematics, Novikov s compact leaf theorem, named after Sergei Novikov, states that A codimension one foliation of a compact 3 manifold whose universal covering space is not contractible must have a compact leaf. Novikov s compact leaf… … Wikipedia
Triple torus — or three torus can refer to one of the two following concepts, both related to a torus.Three dimensional torusThe three dimensonal torus, or triple torus, is defined as the Cartesian product of three circles, :mathbb{T}^3 = S^1 imes S^1 imes… … Wikipedia
Solid torus — In mathematics, a solid torus is a topological space homeomorphic to S^1 imes D^2, i.e. the cartesian product of the circle with a two dimensional disc endowed with the product topology. The solid torus is a connected, compact, orientable 3… … Wikipedia
Oral torus — An oral torus is a lesion made of compact bone and occurs along the palate or the mandible inside the mouth. The palatal torus or torus palatinus occurs along the palate, close to the midline, whereas the mandibular torus or torus mandibularis… … Wikipedia
Complex torus — In mathematics, a complex torus is a particular kind of complex manifold M whose underlying smooth manifold is a torus in the usual sense (i.e. the cartesian product of some number N circles). Here N must be the even number 2n, where n is the… … Wikipedia
Double torus — In mathematics, a double torus is a topological object formed by the connected sum of two torii. That is to say, from each of two torii the interior of a disk is removed, and the boundaries of the two disks are identified (glued together),… … Wikipedia
