International Journal of Mathematics Trends and Technology
Volume 66 | Issue 2 | Year 2020 | Article Id. IJMTT-V66I2P516 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I2P516
In this paper, we introduce a weak form of η-regular closed sets namely weakly η-regular closed sets (briefly, wηr-closed) in generalized topological space. Also we discuss some of its properties. Further we introduce three types of continuous functions using wηr-closed sets and characterise them.
[1] Ankit Gupta and Ratna Dev, “PS – Regular Set in Topology and Generalized topology”, Journal of Mathematics, volume 2014 (2014), Article ID 274592, 6 pages.
[2] Bishwambhar Roy, “ On a type of Generalized open set, Applied General Topology”, 12 (2), 163-173, 2011
[3] A. Csaszar, “Generalized topology, generalized continuity”, Acta Math Hungar. 96, 351-357, 2002.
[4] R. Jamunarani and P. Jeyanthi, “Regular sets in Generalized topological spaces”, Acta Math Hungar, 113(4), 325-332, 2006.
[5] S. Maragathavalli, M. Sheik John and D. Sivaraj, “On g-closed set in generalized topological spaces”. J.Adv.Res.Pure Maths. 2(1). 57-64, 2010,
[6] Min W.K, “Weak continuity on generalized topological spaces”, Acta. Math. Hungar., 124(1-2)(2009), 73-81.
[7] Syed Ali Fathima S.,“On Weakly μg – closed sets in generalized topological spaces”, Journal of Advanced studies in topology. 6:4(2015), 125-128.
[8] Syed Ali Fathima S., “On weakly μg- continuous functions in Generalized Topological Spaces”, International Journal of Mathematical Archive – 7(4), 2016, 33-36.
E. Elizabeth Vidhya, S. Syed Ali Fathima, "On Weakly η- regular Closed Sets in Generalized Topological Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 2, pp. 138-143, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I2P516
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