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.

引用

页码：69 / 73

页数：5

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