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Öğe Extension closed properties on generalized topological groups(Springer, 2014) Hussain, Murad; Ud Din Khan, Moiz; Özcelik, Ahmet Zemci; Özel, CenapIn this paper, we continue to investigate some important results in generalized topological groups and we prove extension closed property for connectedness, compactness, and separability of generalized topological groups. Last, we define generalized topological group actions on generalized topological spaces and we establish a homeomorphism between action group and action space.