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1) that, in analogy with a short exact sequence , indicates which space is the fiber, total space and base space, as well as the map from total to base space. A smooth fiber bundle is a fiber bundle in the category of smooth manifolds . That is, E , B , {\displaystyle E,B,} and F {\displaystyle F} are required to be smooth manifolds and all the functions above are required to be smooth maps ...
Passive optical network. An SC APC fiber optic cable commonly used to link ONTs to the PON network. A passive optical network ( PON) is a fiber-optic telecommunications technology for delivering broadband network access to end-customers. Its architecture implements a point-to-multipoint topology in which a single optical fiber serves multiple ...
The first definition of fiber space is given by Hassler Whitney in 1935 under the name sphere space, but in 1940 Whitney changed the name to sphere bundle. [3] [4] The theory of fibered spaces, of which vector bundles , principal bundles , topological fibrations and fibered manifolds are a special case, is attributed to Seifert , Hopf , Feldbau ...
Fiberscope. A low quality fiberscope observing the inside of an antique clock mechanism. Note how individual fibers are discernable, as each fiber only relays one part of the image. A fiberscope is a flexible optical fiber bundle with an eyepiece on one end and a lens on the other that is used to examine and inspect small, difficult-to-reach ...
Telephone and Data Systems, Inc. is a Chicago -based telecommunications service company providing wireless products and services; cable and wireline broadband, TV and voice services; and hosted and managed services to approximately 6 million customers nationwide through its business units TDS Telecom and U.S. Cellular ( NYSE : USM) and OneNeck ...
Multi-mode optical fiber is a type of optical fiber mostly used for communication over short distances, such as within a building or on a campus. Multi-mode links can be used for data rates up to 800 Gbit/s. Multi-mode fiber has a fairly large core diameter that enables multiple light modes to be propagated and limits the maximum length of a ...
A fiber-optic cable, also known as an optical-fiber cable, is an assembly similar to an electrical cable but containing one or more optical fibers that are used to carry light. The optical fiber elements are typically individually coated with plastic layers and contained in a protective tube suitable for the environment where the cable is used.
1) where T Y and T X are the tangent bundles of Y , respectively, V Y is the vertical tangent bundle of Y , and Y × X T X is the pullback bundle of T X onto Y . A connection on a fibered manifold Y → X is defined as a linear bundle morphism Γ: Y × X T X → T Y {\displaystyle \Gamma:Y\times _{X}\mathrm {T} X\to \mathrm {T} Y} (2) over Y which splits the exact sequence 1 . A connection ...
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