High Quality Content by WIKIPEDIA articles! In mathematics, a Banach bundle is a vector bundle each of whose fibres is a Banach space, i.e. a complete normed vector space, possibly of infinite dimension.Let M be a Banach manifold of class Cp with p >= 0, called the base space; let E be a topological space, called the total space; let : E -> M be a surjective continuous map. Suppose that for each point x M, the fibre Ex = –1(x) has been given the structure of a Banach space.

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