Explore: Generalizations Of Fiber Spaces And Bundles

sphere space, but in 1940 Whitney changed the name to sphere bundle. The theory of fibered spaces, of which vector bundles, principal bundles, topological

depending on the specific types of fiber bundles involved—for example, smooth bundles, vector bundles, or principal bundles—and on the category in which they

general for other fiber bundles. For instance, vector bundles always have a zero section whether they are trivial or not and sphere bundles may admit many

a pullback bundle or induced bundle is the fiber bundle that is induced by a map of its base-space. Given a fiber bundle π : E → B and a continuous

theory of fiber bundles with a structure group G {\displaystyle G} (a topological group) allows an operation of creating an associated bundle, in which

whose fibers are vector spaces and whose cocycle respects the vector space structure. More general fiber bundles can be constructed in which the fiber may

spaces). Fiber bundles do not in general have such global sections (consider, for example, the fiber bundle over S 1 {\displaystyle S^{1}} with fiber

fiber optics Bundles (album), a 1975 album by Soft Machine, including a song of the same title The Bundles, an anti-folk supergroup The Bundles (album), a

mathematics, the fiber bundle construction theorem is a theorem which constructs a fiber bundle from a given base space, fiber and a suitable set of transition

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