Arabian Journal of Mathematics, cilt.3, sa.3, ss.341-347, 2014 (SCI-Expanded)
© 2014, The Author(s).In 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. [Figure not available: see fulltext.]