Fibre bundle Bundle map Let πΉ βπΈ πβ π and πΉβ² βπΈβ² πβ²β π be fibre bundles over a common base space π in a category π’. A bundle map π :πΈ βπΈβ² is a map π βπ’(πΈ,πΈβ²) such that commutes in π’. Bundle maps are the morphisms of Category of fibre bundles. tidy | en | SemBr