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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2022, Number 3, Pages 71–84
DOI: https://doi.org/10.26907/0021-3446-2022-3-71-84 (Mi ivm9761) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Invariants of coverings of Serre bundles

E. I. Yakovlev

International Laboratory of Dynamical Systems and Applications; National Research University Higher School of Economics, 25/12 Bolshaya Pecherskaya str., Nizhniy Novgorod, 603155 Russia
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DOI: https://doi.org/10.26907/0021-3446-2022-3-71-84
Abstract: 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.
Keywords: Serre bundle, covering, homotopy group.
Funding agency Grant number
Russian Science Foundation 21-11-00010
Ministry of Science and Higher Education of the Russian Federation 075-15-2019-1931
Received: 28.06.2021
Revised: 28.06.2021
Accepted: 29.09.2021
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2022, Volume 66, Issue 3, Pages 59–71
DOI: https://doi.org/10.3103/S1066369X22030100
Document Type: Article
UDC: 515.145
Language: Russian
Citation: E. I. Yakovlev, “Invariants of coverings of Serre bundles”, Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 3, 71–84; Russian Math. (Iz. VUZ), 66:3 (2022), 59–71
Citation in format AMSBIB
\Bibitem{Yak22}
\by E.~I.~Yakovlev
\paper Invariants of coverings of Serre bundles
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2022
\issue 3
\pages 71--84
\mathnet{http://mi.mathnet.ru/ivm9761}
\crossref{https://doi.org/10.26907/0021-3446-2022-3-71-84}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2022
\vol 66
\issue 3
\pages 59--71
\crossref{https://doi.org/10.3103/S1066369X22030100}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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