- bundle with fiber
- матем.расслоенное пространство
English-Russian scientific dictionary. 2008.
bundle with fiber
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Fiber bundle construction theorem — In mathematics, the fiber bundle construction theorem is a theorem which constructs a fiber bundle from a given base space, fiber and a suitable set of transition functions. The theorem also gives conditions under which two such bundles are… … Wikipedia
Fiber bundle — In mathematics, in particular in topology, a fiber bundle (or fibre bundle) is a space which looks locally like a product space. It may have a different global topological structure in that the space as a whole may not be homeomorphic to a… … Wikipedia
Fiber-optic communication — An optical fiber junction box. The yellow cables are single mode fibers; the orange and blue cables are multi mode fibers: 50/125 µm OM2 and 50/125 µm OM3 fibers respectively. Fiber optic communication is a method of transmitting information from … Wikipedia
Associated bundle — In mathematics, the theory of fiber bundles with a structure group G (a topological group) allows an operation of creating an associated bundle, in which the typical fiber of a bundle changes from F 1 to F 2, which are both topological spaces… … Wikipedia
Metric (vector bundle) — In differential geometry, the notion of a metric tensor can be extended to an arbitrary vector bundle. Specifically, if M is a topological manifold and E → M a vector bundle on M, then a metric (sometimes called a bundle metric, or fibre metric)… … Wikipedia
Fiber — The parts of plants that cannot be digested, namely complex carbohydrates. Also known as bulk or roughage. Complex carbohydrates from plants are rich in starch and fiber. Examples of plants that provide complex carbohydrates (fiber) are fresh… … Medical dictionary
Bundle map — In mathematics, a bundle map (or bundle morphism) is a morphism in the category of fiber bundles. There are two distinct, but closely related, notions of bundle map, depending on whether the fiber bundles in question have a common base space.… … Wikipedia
Bundle (mathematics) — In mathematics, a bundle is a generalization of a fiber bundle dropping the condition of a local product structure. The requirement of a local product structure rests on the bundle having a topology. Without this requirement, more general objects … Wikipedia
Fiber — For other uses, see Fiber (disambiguation). A bundle of optical fibers Fiber (also spelled fibre) is a class of materials that are continuous filaments or are in discrete elongated pieces, similar to lengths of thread. They are very important in… … Wikipedia
Bundle gerbe — In mathematics, a bundle gerbe is a geometrical model of certain 1 gerbes with connection, or equivalently of a 2 class in Deligne cohomology. Topology U (1) principal bundles over a space M (see circle bundle) are geometrical realizations of 1… … Wikipedia
bundle — A structure composed of a group of fibers, muscular or nervous; a fasciculus. SYN: fasciculus (3) [TA]. aberrant bundles a group, or groups, of fibers from the corticobulbar or corticonuclear tract, directed to each of the motor … Medical dictionary
