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
收藏
页码：76 / 81
页数：6
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