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Fiber (mathematics) In mathematics, the fiber ( US English) or fibre ( British English) of an element under a function is the preimage of the singleton set , [1] : p.69 that is. As an example of abuse of notation, this set is often denoted as , which is technically incorrect since the inverse relation of is not necessarily a function.
Pullback bundle. In mathematics, a pullback bundle or induced bundle [1] [2] [3] is the fiber bundle that is induced by a map of its base-space. Given a fiber bundle π : E → B and a continuous map f : B′ → B one can define a "pullback" of E by f as a bundle f*E over B′. The fiber of f*E over a point b′ in B′ is just the fiber of E ...
Fibre-optic Link Around the Globe ( FLAG) is a 28,000-kilometre-long (17,398 mi; 15,119 nmi) fibre optic mostly- submarine communications cable that connects the United Kingdom, Japan, India, and many places in between. The cable is operated by Global Cloud Xchange, a subsidiary of RCOM. [1] The system runs from the eastern coast of North ...
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. There are also several variations on the basic theme, depending on precisely which category ...
19165 (Webpass) Google Fiber, sometimes stylized as GFiber, is a fiber broadband Internet service operated by Google Fiber Inc., [2] a subsidiary of Alphabet, [3] servicing a growing number of households in cities in 19 states across the United States. [4] In mid-2016, Google Fiber was estimated to have about 453,000 broadband customers.
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 ...
South-Southwest United States. With its U-verse product, AT&T (formerly SBC) had pursued a strategy of Fiber to the Neighborhood (FTTN) and had even delivered Fiber to the Premises (FTTP) prior to the services' launch. Currently, U-verse is deployed as a Fiber to the Hub (FTTH) service; the line connecting the hub to the home is a dual copper ...
The route of the submarine cable (red); the blue segment is dy 1 6. South East Asia–Middle East–Western Europe 4 (SEA-ME-WE 4) is an optical fibre submarine communications cable system that carries telecommunications between Singapore, Malaysia, Thailand, Bangladesh, India, Sri Lanka, Pakistan, United Arab Emirates, Saudi Arabia, Egypt, Italy, Tunisia, Algeria and France.
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