Книга: Principal Bundle: Cartesian Product, Group, Group Action, Topology, Fiber Bundle, Frame Bundle, Vector Bundle, Basis, General linear Group

High Quality Content by WIKIPEDIA articles! In mathematics, a principal bundle is a mathematical object which formalizes some of the essential features of a Cartesian product X ? G of a space X with a group G. Analogous to the Cartesian product, a principal bundle P is equipped with 1. An action of G on P, analogous to (x,g)h = (x, gh) for the product space. 2. A projection onto X, which is just the projection onto the first factor for a product space: (x,g) ? x.