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 |
|