2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64767A stratified bundle is a fibered space in which strata are classical bundles and in which attachment of strata is controlled by a structure category of fibers. Well known results on fibre bundles are shown to be true for stratified bundles; namely the pull back theorem, the bundle theorem and the principal bundle theorem.LaTeX file. Revised version. Accepted for publication on "Forum Mathematicum"Geometric Topology55R55; 55R65; 55R70text