Topological Group-Groupoids and Equivalent Categories
| dc.contributor.author | Özcan, Abdullah Fatih | |
| dc.contributor.author | İçen, İlhan | |
| dc.date.accessioned | 2024-08-04T19:54:48Z | |
| dc.date.available | 2024-08-04T19:54:48Z | |
| dc.date.issued | 2022 | |
| dc.department | İnönü Üniversitesi | en_US |
| dc.description.abstract | The concept of groupoid was offered by Brandt (1926). The structure of the topological groupoid was given by Ehresmann (1958). A groupoid action is a significant appliance in algebraic topology offered by Ehresmann. Another algebraic notion is a covering given by Brown (1988). The topological group-groupoids (?-groupoid) were first put forward by Icen & Ozcan (2001). The definition of coverings of topological ? groupoid and actions of topological ?-groupoid were also presented by Icen et al. (2005). In this paper, we are going to create a category T?GpdCov(?) of covering morphisms of T?-groupoid and a category T?GpdOp(?) of actions of T?-groupoid. We will then prove that these categories are equivalent. | en_US |
| dc.identifier.doi | 10.53433/yyufbed.1137668 | |
| dc.identifier.endpage | 673 | en_US |
| dc.identifier.issn | 1300-5413 | |
| dc.identifier.issn | 2667-467X | |
| dc.identifier.issue | 3 | en_US |
| dc.identifier.startpage | 667 | en_US |
| dc.identifier.trdizinid | 1146444 | en_US |
| dc.identifier.uri | https://doi.org/10.53433/yyufbed.1137668 | |
| dc.identifier.uri | https://search.trdizin.gov.tr/yayin/detay/1146444 | |
| dc.identifier.uri | https://hdl.handle.net/11616/90169 | |
| dc.identifier.volume | 27 | en_US |
| dc.indekslendigikaynak | TR-Dizin | en_US |
| dc.language.iso | en | en_US |
| dc.relation.ispartof | Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi | en_US |
| dc.relation.publicationcategory | Makale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.title | Topological Group-Groupoids and Equivalent Categories | en_US |
| dc.type | Article | en_US |
