What is the meaning of Fiber_bundle?
An abstract object in topology where copies of one object are "attached" to every point of another, as hairs or fibers are attached to a hairbrush. Formally, a topological space E (called the total space), together with a topological space B (called the base space), a topological space F (called the fiber), and surjective map from E to B (called the projection or submersion), such that every point of B has a neighborhood U with homeomorphic to the product space U F (that is, E looks locally the same as the product space B F, although its global structure may be quite different).
Source: wiktionary.org
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