On α⋆-sets in Generalized Topological Spaces

  • M. Jeyaraman PG and Research Department of Mathematics, Raja Dorai Singam Govt. Arts College, Sivagangai, Tamil Nadu, India.
  • S.C.Vasthirani Department of Mathematics, Sree Sevugan Annamalai College, Devakottai, Tamil Nadu, India.
  • O. Ravi Department of Mathematics, P. M. Thevar College, Usilampatti, Madurai District, TamilNadu, India.
  • R. Muthuraj PG and Research Department of Mathematics, H. H. The Rajahs College, Pudukottai, Tamil Nadu, India.
Keywords: µ-α⋆-set, Cµ-set, Bµ-set

Abstract

The aim of this paper is to introduce the new notion called µ-α⋆-sets and study its properties in generalized topological spaces. Also we obtain some decompositions.

References

S.Z.Bai and Y.P.Zuo, On g-α-irresolute functions, Acta Math. Hungar., 130(4)(2011), 382-389.

A.Cs` asz` ar, Generalized open sets, Acta Math. Hungar., 75(1-2)(1997), 65-87.

A.Cs` asz` ar, Generalized topology, generalized continuity, Acta Math. Hungar., 96(2002), 351-357.

A.Cs` asz` ar, Extremally disconnected generalized topologies, Annales Univ. Sci. Budapest., 47(2004), 91-96.

A.Cs` asz` ar, Generalized open sets in generalized topologies, Acta Math.Hungar., 106(2005), 53-66.

A.Cs` asz` ar, Further remarks on the formula for γ-interior, Acta Math.Hungar., 113(2006), 325-332.

A.Cs` asz` ar, Remarks on quasi-topologies, Acta Math. Hungar., 119(2007), 197-200.

A.Cs` asz` ar, δ- and θ- modifications of generalized topologies, Acta Math Hungar., 120(3)(2008), 275-279.

A.Cs` asz` ar, Weak Structures, Acta Math. Hungar., 131(1-2)(2011), 193-195.

E.Ekici, Generalized hyperconnectedness, Acta Math. Hungar., 133(1-2)(2011), 140-147.

R.Jamunarani and P.Jeyanthi, Reguler sets in generalized topological spaces, Acta Math. Hungar., 135(4)(2012), 342-349.

W.K.Min, Generalized continuous functions defined by generalized open sets on generalized topological spaces, Acta Math. Hungar., 128(4) (2010), 299-306.

S.Thamaraiselvi and M.Navaneethakrishnan, On α⋆-sets and a decomposition theorem, Jordan Journal of Mathematics and Statistics., 6(1)(2013), 29-36.

GE Xun and GE Ying, µ-Separations in generalized topological spaces, Appl. Math. J. Chinese Univ., 25(2)(2010), 243-252.
How to Cite
M. Jeyaraman, S.C.Vasthirani, O. Ravi, & R. Muthuraj. (2015). On α⋆-sets in Generalized Topological Spaces. International Journal of Current Research in Science and Technology, 1(5), 39-43. Retrieved from https://crst.gfer.org/index.php/crst/article/view/26
Section
Articles