Abstract
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.
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This article is published under license to BioMed Central Ltd. Open Access This article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution, and reproduction in any medium, provided the original author(s) and the source are credited.
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Hussain, M., Ud Din Khan, M., Özcelik, A.Z. et al. Extension closed properties on generalized topological groups. Arab. J. Math. 3, 341–347 (2014). https://doi.org/10.1007/s40065-014-0102-9
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DOI: https://doi.org/10.1007/s40065-014-0102-9