Work

Coverings of Steenrod bundles

Year: 2026

Type: article

Abstract: 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.

Source: Russian Mathematics

DOI: 10.26907/0021-3446-2026-10-61-76

Authors: A. A. Sattarov, E. I. Yakovlev

Institution: National Research University Higher School of Economics

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W7224133445

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Cites: 7

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Related to: 10