Lıe örtü grupoidleri
| dc.contributor.author | Gürsoy, Mustafa Habil | |
| dc.date.accessioned | 2019-05-14T11:31:54Z | |
| dc.date.available | 2019-05-14T11:31:54Z | |
| dc.date.issued | 2007 | |
| dc.department | Fakülteler, Tıp Fakültesi | en_US |
| dc.description.abstract | If M is a differentiable connected manifold then there exists an universal covering manifold M having unique differentiable structure such that the covering map p : M -> M is differentiable. This fact is also true for connected Lie groups By using this fact, it is proved that the category LGdCov(G) of coverings of connected Lie groupoids which is a generalization of connected Lie groups, and the category LGdOp(G) of actions on some M differentiable manifold are equivalent. Secondly, by introducing Lie group-groupoids the category LGGdCov(G) of coverings of some G Lie group-groupoid and the category LGGdOp(G) of actions of G on connected Lie group M are established. Further, it is shown that these categories are equivalent. Finally, it is presented by launching the notion Lie ring-groupoids, a generalization of Lie group-groupoids, that the category LRGdCov(R) of coverings of R Lie ring-groupoids and the category LRGdOp(R) of actions of R on connected Lie ring M are equivalent. KEY WORDS: Groupoid, Lie groupoid, covering groupoid, Lie group-groupoid, Lie ring-groupoid. | en_US |
| dc.identifier.citation | Gürsoy, M.H. (2007). Lıe örtü grupoidleri. Yayımlanmış Doktora lisans tezi, İnönü Üniversitesi, Malatya | en_US |
| dc.identifier.endpage | 183 | en_US |
| dc.identifier.startpage | 1 | en_US |
| dc.identifier.uri | https://hdl.handle.net/11616/10866 | |
| dc.language.iso | tr | en_US |
| dc.publisher | İnönü Üniversitesi | en_US |
| dc.relation.publicationcategory | Tez | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Matematik | en_US |
| dc.subject | Mathematics | en_US |
| dc.title | Lıe örtü grupoidleri | en_US |
| dc.title.alternative | Lie covering groupoids | en_US |
| dc.type | Doctoral Thesis | en_US |
