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On the structure of finite coverings of compact connected groups

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dc.contributor.author Grigorian S.
dc.contributor.author Gumerov R.
dc.date.accessioned 2018-09-18T20:29:50Z
dc.date.available 2018-09-18T20:29:50Z
dc.date.issued 2006
dc.identifier.issn 0166-8641
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/140497
dc.description.abstract Finite-sheeted covering mappings onto compact connected groups are studied. We show that for a covering mapping from a connected Hausdorff topological space onto a compact (in general, non-abelian) group there exists a topological group structure on the covering space such that the mapping becomes a homomorphism of groups. To prove this fact we construct an inverse system of covering mappings onto Lie groups which approximates the given covering mapping. As an application, it is shown that a covering mapping onto a compact connected abelian group G must be a homeomorphism provided that the character group of G admits division by degree of the mapping. We also get a criterion for triviality of coverings in terms of means and prove that each finite covering of G is equivalent to a polynomial covering. © 2006 Elsevier B.V. All rights reserved.
dc.relation.ispartofseries Topology and its Applications
dc.subject Finite-sheeted covering mapping
dc.subject Limit morphism induced by morphism of inverse systems
dc.subject Mean
dc.subject n-divisible character group
dc.subject Polynomial covering mapping
dc.title On the structure of finite coverings of compact connected groups
dc.type Article
dc.relation.ispartofseries-issue 18
dc.relation.ispartofseries-volume 153
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 3598
dc.source.id SCOPUS01668641-2006-153-18-SID33750013723


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  • Публикации сотрудников КФУ Scopus [24551]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

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