Gursoy, Mustafa Habil2024-08-042024-08-0420211016-2526https://hdl.handle.net/11616/103253Our aim in this paper is to give the notion of generalized topological groupoid which is a generalization of the topological groupoid by using the notion of generalized topology defined by Csaszar [6]. We investigate the basic facts in the groupoid theory in terms of generalized topological groupoids. We present the action of a generalized topological groupoid on a generalized topological space. We obtain some characterizations about this concept that is called the generalized topological action. Beside these, we give definition of a generalized topological crossed module by generalizing the concept of crossed module defined on topological groupoids. At the last part of the study, we show how a generalized topological crossed module can be obtained from a generalized topological groupoid and how a generalized topological groupoid can be obtained from a generalized topological crossed module.eninfo:eu-repo/semantics/closedAccessGeneralized topologygeneralized topological groupoidgeneralized topological crossed moduleArticle5323549WOS:000624636100002N/A