Vector bundle - Variants and generalizations - Article Index

Encyclopedia - Vector Bundle: Encyclopedia - Vector Bundle
In mathematics, a vector bundle is a geometrical construct where to every point of a topological space (or manifold, or algebraic variety...   » Read the article

Encyclopedia - Vector Bundle: Encyclopedia Ii - Vector Bundle - Definition And First Consequences
A real vector bundle is given by the following data: topological spaces X (the "base space") and E (the "total space") a continuous map ...   » Read the article

Encyclopedia - Vector Bundle: Encyclopedia Ii - Vector Bundle - Vector Bundle Morphisms
A morphism from the vector bundle π1 : E1 → X1 to the vector bundle π2 : E2 → X2 is given by a pair of continuous maps f&...   » Read the article

Encyclopedia - Vector Bundle: Encyclopedia Ii - Vector Bundle - Sections And Locally Free Sheaves
Given a vector bundle π : E → X and an open subset U of X, we can consider sections of π on U, i.e. continuous functions s ...   » Read the article