It is proved that the equivalence class of bundle representations of a group G on the product bundle script B sign0 with total space B 0 = X x Y includes all representations of G on bundles script B sign which are homeomorphic (but not necessarily naturally homeomorphic) to the product X x Y, provided that G has the same action on the fibres of script B sign0 and script B sign. The group A of the bundle script B sign is immaterial.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics