λ-Mildly Normal Spaces and some Functions in Generalized Topological Spaces
Keywords:
Almost (gλ, µ)-continuity, almost (rgλ, µ)-continuity, λ-mildly normal space, (λ, µ)-rc-preserving, rgλ-irresolute
Abstract
In this paper we introduce the notion of regular gλ-closed (rgλ-closed) sets and by using rgλ-closed sets we obtain a characterization of λ-mildly normal spaces and use it to improve the preservation theorems of λ-mildly normal spaces.
References
A.Al-omari and T.Noiri, A unified Theory of contra-(µ, λ)-continuous functions in generalized topological spaces, Acta Math. Hungar., 135(1-2)(2012), 31-41.
A.Cs` asz` ar, Generalized open sets, Acta Math. Hungar., 75(1997), 65-87.
A.Cs` asz` ar, Generalized open sets in generalized topologies, Acta Math. Hungar., 106(2005), 53-66.
A.Cs` asz` ar, Generalized topology, generalized continuity, Acta Math. Hungar., 96(2002), 351-357.
R.Jamunarani and P.Jeyanthi, Regular sets in generalized topological spaces, Acta Math. Hungar., 135(4)(2012), 342-349.
Jyothis Thomas and Sunil Jacob John, µ-compactness in generalized topological spaces, Journal of Advanced Studies in Topology, 3(3)(2012), 18-22.
S.Maragathavalli, M.Sheik John and D.Sivaraj, On g-closed sets in generalized topological spaces, Journal of Advanced Research in Pure Mathematics, 2(1)(2010), 57-64.
W.K.Min, Almost Continuity on generalized topological spaces, Acta Math. Hungar., 125(1-2)(2009), 121-125.
W.K.Min, Some results on generalized topological spaces and generalized systems, Acta Math. Hungar., 108(1-2)(2005), 171-181.
W.K. Min, Weak continuity on generalized topological spaces, Acta Math. Hungar., 124 (2009), 73-81.
P.Santhi, S.Vijaya, R.Poovazhaki and O.Ravi, On the Class of Contra (λ,µ)-Continuous Functions in Generalized Topological Spaces, Submitted.
GE Xun and GE Ying, λ-Separations in Generalized Topological spaces, Appl. Math. J. Chinese Univ., 25(2)(2010), 243-252.
A.Cs` asz` ar, Generalized open sets, Acta Math. Hungar., 75(1997), 65-87.
A.Cs` asz` ar, Generalized open sets in generalized topologies, Acta Math. Hungar., 106(2005), 53-66.
A.Cs` asz` ar, Generalized topology, generalized continuity, Acta Math. Hungar., 96(2002), 351-357.
R.Jamunarani and P.Jeyanthi, Regular sets in generalized topological spaces, Acta Math. Hungar., 135(4)(2012), 342-349.
Jyothis Thomas and Sunil Jacob John, µ-compactness in generalized topological spaces, Journal of Advanced Studies in Topology, 3(3)(2012), 18-22.
S.Maragathavalli, M.Sheik John and D.Sivaraj, On g-closed sets in generalized topological spaces, Journal of Advanced Research in Pure Mathematics, 2(1)(2010), 57-64.
W.K.Min, Almost Continuity on generalized topological spaces, Acta Math. Hungar., 125(1-2)(2009), 121-125.
W.K.Min, Some results on generalized topological spaces and generalized systems, Acta Math. Hungar., 108(1-2)(2005), 171-181.
W.K. Min, Weak continuity on generalized topological spaces, Acta Math. Hungar., 124 (2009), 73-81.
P.Santhi, S.Vijaya, R.Poovazhaki and O.Ravi, On the Class of Contra (λ,µ)-Continuous Functions in Generalized Topological Spaces, Submitted.
GE Xun and GE Ying, λ-Separations in Generalized Topological spaces, Appl. Math. J. Chinese Univ., 25(2)(2010), 243-252.
How to Cite
P.Jeyalakshmi. (2017). λ-Mildly Normal Spaces and some Functions in Generalized Topological Spaces. International Journal of Current Research in Science and Technology, 3(9), 13-19. Retrieved from https://crst.gfer.org/index.php/crst/article/view/99
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