Editing Bundle (mathematics) (section)

{{distinguish|Bundle (geometry)}}

In [[mathematics]], a '''bundle''' is a generalization of a [[fiber bundle]] dropping the condition of a local product structure. The requirement of a local product structure rests on the bundle having a [[topological space|topology]]. Without this requirement, more general objects can be considered bundles. For example, one can consider a bundle π: ''E'' → ''B'' with ''E'' and ''B'' [[Set (mathematics)|sets]]. It is no longer true that the [[preimage]]s <math>\pi^{-1}(x)</math> must all look alike, unlike fiber bundles, where the fibers must all be [[isomorphic]] (in the case of [[vector bundle]]s) and [[homeomorphic]].