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 Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "http://localhost:6011/en.wiktionary.org/v1/":): {\displaystyle \times} 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