Fiber bundles

continuous surjection satisfying a local triviality condition

type of continuous map in topology

fiber bundle whose fibers are group torsors (groups with the identity element forgotten)

fiber bundle of the 3-sphere over the 2-sphere, with 1-spheres as fibers

Shape produced by intersection of a torus

right inverse of a fiber bundle map

math/physics concept

principal bundle associated to a vector bundle, whose fiber is the (torsor over the) automorphism group of the vector-bundle fiber

circle bundle over a 2 dimensional orbifold

topological space equipped with a principal bundle with the property that any principal bundle (with the same fiber group) over a paracompact manifold is isomorphic to a pullback of the principal bundle over this topological space

a differentiable manifold whose (co)tangent bundle is topologically trivial

Ehresmann connection on a principal bundle that is compatible with the group action

fiber bundle constructed by a representation of a group and a principal bundle

generalization of a fiber bundle dropping the condition of a local product structure

fiber bundle whose fibers are circles

the manifold of all orthonormal k-frames in n-dimensional Euclidean space

fiber bundle induced by a map of its base space