24/09/2023
A fiber bundle (also called simply a bundle) with fiber F is a map f:E->B where E is called the total space of the fiber bundle and B the base space of the fiber bundle. The main condition for the map to be a fiber bundle is that every point in the base space b in B has a neighborhood U such that f^(-1)(U) is homeomorphic to U×F in a special way. Namely, if h:f^(-1)(U)->U×F is the homeomorphism, then proj_U degreesh=f_(|f^(-1)(U)|), where the map proj_U means projection...