Construcción de fibrados vectoriales y fibrado inducido

Abstract

This work consists of the study of vector bundles on differentiable manifolds, to start this study two vector bundles of great importance are built, since from them you can build others, the induced bundle or pullback and the universal bundle, functions are defined as continuously differentiable homotopic functions, Gaussian function, as well as the sum operation Whitney and semi-group V(M) which together with other concepts and results allow to present two theorems that together provide a characterization of vector bundles, homotopic equivalence theorem and classification theorem of vector bundles.