We study a covering in the category of Serre bundles. It is assumed that the base of the covering is a Steenrod bundle (fibre bundle) with a connected structure group. We obtain a condition under which the covering bundle has the same property, and the covering maps of bases, total spaces, fibers, and structure groups form a morphism in the category of Steenrod bundles. It is proved that in the case when the base of the covering is a principal bundle, this condition is always satisfied, and therefore the covering bundle is also principal.
No takes yet. Share an insight, caveat, or question.
Sattarov et al. (2026) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: