On a covering group theorem and its applications

dc.contributor.author	Grigorian S.
dc.contributor.author	Gumerov R.
dc.date.accessioned	2018-09-17T21:58:16Z
dc.date.available	2018-09-17T21:58:16Z
dc.date.issued	2002
dc.identifier.issn	1995-0802
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/135665
dc.description.abstract	Let p: X → G be an n-fold covering of a compact group G by a connected topological space X. Then there exists a group structure in X turning p into a homomorphism between compact groups. As an application, we describe all n-fold coverings of a compact connected abelian group. Also, a criterion of triviality for n-fold coverings in terms of the dual group and the one-dimensional Čech cohomology group is obtained.
dc.relation.ispartofseries	Lobachevskii Journal of Mathematics
dc.subject	Algebraic coverings
dc.subject	Algebraic equations with coefficients in function algebras
dc.subject	Covering groups
dc.subject	Criterion of triviality for n-fold coverings
dc.subject	Dual group
dc.subject	n-fold coverings of compact groups
dc.subject	One-dimensional Čech cohomology group
dc.title	On a covering group theorem and its applications
dc.type	Article
dc.relation.ispartofseries-volume	10
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	9
dc.source.id	SCOPUS19950802-2002-10-SID4444336016

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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.