On Almost GO-Menger Space
DOI:
https://doi.org/10.56405/dngcrj.2024.09.01.06Keywords:
Selection Principles, Menger space, GO-Menger space, Almost GO-Menger spaceAbstract
By employing g-open sets, we present the concept of almost GOMenger space in this article. After that, the nature of almost GO-Menger space is compared to GO-Menger space, and some fundamental topological aspects of such spaces are examined. Additionally, a study of this space's quasi-irresolute image and an investigation into possible connections with some selection principles are conducted.
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References
Andrijevic, D. (1996). On b-open Sets, Matematički Vesnik, 48, 59-64.
Bal, P., & Bhowmik, S. (2017). On R-star Lindelo ̈f Spaces, Palestine Journal of Mathematics, 6 (11), 1-7.
Bal, P., Bhowmik, S., & Gauld, D. (2018). On Selectively Star Lindelo ̈f Properties, Journal of the Indian Mathematical Society, 85 (3-4), 291-304.
Bal, P., & Kocinac, Lj.D.R. (2020). On selectively Star-ccc Spaces, Topology and its Applications, 281, 107184.
Balachandran, K., Sundaram, P., & Maki, H. (1991). On Generalized Continuous Maps in Topological Spaces, Memoirs of the Faculty of Science, Kochi University. Series A, Mathematics, 12, 5-13.
Dunham, W. (1977). T_(1/2) -spaces, Kyungpook Mathematical Journal, 17, 161-169.
Dunham, W., & Levine, N. (1980). Further Results on Generalized Closed sets in Topology, Kyungpook Mathematical Journal, 20, 169-175.
Engelking, R. (1989). General Topology, Sigma Series in Pure Mathematics, Revised and complete ed., Heldermann, Berlin.
Kocinac, D.R. (2015). Star Selection Principles: A Survey, Khayyam Journal of Mathematics, 1, 82-106.
Levine, N. (1970). Generalized Closed Sets in Topology, Rendiconti del Circolo Matematico di Palermo Series 2, 19 (2), 89-96.
Menger, K. (1924). Einige Überdeckungssä tze der punktmengenlehre, Sitzungsberichte der Wiener Akademie, 133, 421-444.
Njastad, O. (1965). On Some Classes of Nearly Open Sets, Pacific Journal of Mathematics, 15, 961-970.
Rajesh, N., & Vijayabharati, V. (2014). Properties of b-compact spaces and b-closed Spaces, Boletim da Sociedade Paranaense de Matemática, 32 (2), 237-247.
Sabha, A., Khan, M.D., Kocinac, Lj.D.R. (2016). Covering properties defined by semi-open sets, Journal of Nonlinear Science and Applications, 6, 4388-4398.
Sarkar, S., Bal, P., & Rakshit, D. (2023). On the topological covering properties by means of generalized open sets, Topological Algebra and its Application, 11, 20230109.
Velicko, N.V. (1966). H-closed Topological Spaces, Matematicheskii Sbornik, 70, 98-112; English transl. in American Mathematical Society Translations, 78 (1968), 102-118.
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