A fiber bundle is composed of a quadruple (E, B, π, F), where E, B, F are topological spaces and π: E → B is a continuous surjection, satisfying the local triviality conditions given below. B is called the base space of the bundle, E is called the total space, and F is called the fiber. The mapping π is called the projection mapping. Here we assume that the base space B is connected.
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