On Covering Groups

被引：1

作者：

Gumerov, R. N. ^{[1
]}

机构：

[1] Kazan Fed Univ, 35 Kremlyovskaya Str, Kazan 420008, Russia

来源：

RUSSIAN MATHEMATICS | 2020年 / 64卷 / 03期

关键词：

compact connected group; covering group; covering space; continuous homomorphism; finite-sheeted covering mapping; topological space; SOLENOIDS; MAPS;

D O I：

10.3103/S1066369X20030081

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study finite-sheeted covering mappings from compact connected spaces onto compact connected groups. For such a covering mapping we consider a method of supplying its covering space by a group structure. The covering space endowed with that group structure is a topological group, and a given covering mapping turns into a homomorphism of compact connected groups.

引用

页码：76 / 81

页数：6

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