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Geometrical Categories of Generalized Lie Groups and Lie Group-Groupoids | ||
| Iranian Journal of Science | ||
| مقاله 9، دوره 37، شماره 1، خرداد 2013، صفحه 69-73 اصل مقاله (86.41 K) | ||
| نوع مقاله: Regular Paper | ||
| شناسه دیجیتال (DOI): 10.22099/ijsts.2013.1539 | ||
| نویسندگان | ||
| M. R. Farhangdoost* ؛ T. Nasirzade | ||
| Department of Mathematics, College of Sciences, Shiraz University, P.O. Box 71457- 44776, Shiraz, Iran | ||
| چکیده | ||
| 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 groupgroupoid and the category of actions of this generalized Lie group-groupoid on a connected generalized Lie group are equivalent. | ||
| کلیدواژهها | ||
| Lie groupoid؛ Lie group؛ Generalized Lie group؛ Homotopy of topological groups | ||
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