Geometrical Categories of Generalized Lie Groups and Lie Group-Groupoids

被引：0
|
作者：
Farhangdoost, M. R. [1 ]
Nasirzade, T. [1 ]
机构：
[1] Shiraz Univ, Coll Sci, Dept Math, Shiraz, Iran
来源：
IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE | 2013年 / 37卷 / A1期
关键词：
Lie groupoid; Lie group; Generalized Lie group; Homotopy of topological groups; TOP SPACES;
D O I：
暂无
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper we construct the category of coverings of fundamental generalized Lie group-groupoid associated with a connected generalized Lie group. We show that this category is equivalent to the category of coverings of a connected generalized Lie group. In addition, we prove the category of coverings of generalized Lie group-groupoid and the category of actions of this generalized Lie group-groupoid on a connected generalized Lie group are equivalent.
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页码：69 / 73
页数：5
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