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Инварианты накрытий расслоений Серра

Russian Mathematics (USA). 2022. № 3. С. 71–84.
Yakovlev E.

The category of coverings of a given Serre bundle is investigated. By a covering mapping
of one such bundle onto another we mean a morphism in the category of bundles consisting of
covering mappings of total spaces and bases. An invariant of a covering from the indicated category
is constructed, which is the conjugacy class of some subsequence of the homotopy sequence of the
base bundle. Criteria for the existence of morphisms and isomorphisms for given coverings are
obtained.

Research target: Mathematics
Language: Russian
Full text
DOI
Text on another site
Keywords: coveringрасслоение Серраhomotopy groupнакрытиегомотопическая группа Serre bundle
Publication based on the results of:
Теория динамических систем и ее приложения (2021)
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