A stratified bundle is a fibered space in which strata are classical bundles and in which attachment of strata is controlled by a structure category F 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.
Baues, H., Ferrario, D. (2004). Stratified fibre bundles. FORUM MATHEMATICUM, 16(6), 865-902 [10.1515/form.2004.16.6.865].
Stratified fibre bundles
FERRARIO, DAVIDE LUIGI
2004
Abstract
A stratified bundle is a fibered space in which strata are classical bundles and in which attachment of strata is controlled by a structure category F 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.
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