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Wikipedia definition
1. Principal bundleIn mathematics, a principal bundle is a mathematical object which formalizes some of the essential features of the Cartesian product X × G of a space X with a group G. In the same way as with the Cartesian product, a principal bundle P is equipped with An action of G on P, analogous to (x,g)h = (x, gh) for a product space. A projection onto X. For a product space, this is just the projection onto the first factor, (x,g) → x.
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