In mathematics, a pullback bundle or induced bundle is a useful construction in the theory of fiber bundles. Given a fiber bundle π : E → B and a continuous map f : B′ → B one can define a "pullback" of E by f as a bundle f *E over B′. The fiber of f *E over a point x in B′ is just the fiber of E over f(x). Thus f *E is the disjoint union of all these fibers equipped with a suitable topology.
Read more about Pullback Bundle: Formal Definition, Properties, Bundles and Sheaves
Famous quotes containing the word bundle:
“We styled ourselves the Knights of the Umbrella and the Bundle; for, wherever we went ... the umbrella and the bundle went with us; for we wished to be ready to digress at any moment. We made it our home nowhere in particular, but everywhere where our umbrella and bundle were.”
—Henry David Thoreau (1817–1862)