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Vector bundleIn mathematics, a vector bundle is a fibre bundle whose fibres are vector spaces. More precisely and formally, a vector bundle E over a manifold M is a manifold equipped with a smooth projection π : E → M such that for any x∈ M the fibre π −1x is isomorphic to a vector space V, and there is a neighbourhood Ux of x such that π −1(Ux) is diffeomorphic to Ux×V.
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This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Vector bundle".