Volume 50 | Number 1 | Year 2017 | Article Id. IJMTT-V50P503 | DOI : https://doi.org/10.14445/22315373/IJMTT-V50P503
In this paper we introduce the new concept of αsg closed sets in topological spaces and a basic properties of αsg-closed sets were obtained.
[1] D. Andrijevic, semipre-open sets, Mat.Vesnik, 38(1)(1986), 24-32.
[2] S.P. Arya, T.M. Tour, Characterization of s-normal spaces, Indian J.Pure- Appl.Math, 21(8)(1990), 717-719.
[3] P. Bhattacharya, B.K. Lahari, semi-generalized closed sets in topology, Indian.J.Math., 29(3)(1987), 375-382.
[4] J. Dontchev, On generalizing semi-pre open sets, Mem.Fac.Sci.Kochi.Univ.ser.A.Math, 16(1995), 35-48.
[5] J. Dontchev and T.Noiri, Quasi-normal spaces and g-closed sets, Acta Math.Hungar,89(3)(2000),211-219.
[6] C. Janaki, Studies on g-closed sets in Topology, Ph.D The- sis,Bharathiar University ,Coimbatore.(2009).
[7] N. Levine, semi-open sets and semi-continuity in topological spaces, American Mathematical Monthly, 70(1963), 36-41.
[8] N.Levine, Generalized closed sets in topological spaces,Rend.circ.mat.palermo,vol 19(2),(1970) 89-96.
[9] H. Maki, R. Devi, K. Balachandran, Generalized closed sets in topology, Bull.Fukuoka Univ, Ed.partIII., 42(1993), 13-21.
[10] H. Maki, R. Devi, K. Balachandran, Associated topologies of generalized closed sets and generalized closed sets, Mem.Fac.Sci.Kochi Univ.sev.A.Math., 15(1994), 51-63.
[11] H. Maki, J. Umehera, T. Noiri, Every Topological space is pre-t1/2, Mem.Fac.Sci.Kochi.Univ.ser.A.Math., 17(1996), 33-42.
[12] A.S. Mashlour, M.E. Abd.EI- Monsef, S.N.EI. Deeb, On pre-continuous and weak pre-continuous mappings, proc.Math,phys.soc.Egypt, 53,(1982), 47-53.
[13] N. Nagaveni,Studys on generalizations of homeomorphism in topological spaces, Ph.D.,Thesis,Bharathiar University,Coimbatore(1999).
[14] O. Njastad, On some classes of nearly open sets, Pacic.J.Math., 15(1965), 961-970.
[15] T. Noiri,S.Jafari,N.Rajesh and M.L.Thivagar. Another generalization of closed sets, Kochi J.Math,3(2008)25-38.
[16] J.K.Park and J.H.Park, Mildly generalized closed set, almost normal and mildly normal space, Chaos.Solution and Fractal,20(2004),1103-1111.
[17] M.H.Stone,Application of the theory of Boolean rings to general topology, Trans.Amer.Math.Soc.,41(1937),375-381.
[18] P. Sundaram,and M.shiek john.,On w-closed sets in topology, Act aciencia indica,(2000),389-392.
[19] M.K.R.S.Veerakumar,^g-closed sets and GIC-functions, Indian J.Math.,43(2)(2001),231-247.
[20] M.K.R.S.Veerakumar ,Between closed sets and g-closed sets, Mem.Fac.Sci.Kochi Univ.(Math).,21(2000),1-19.
A.Devika, R.Vani, K.Gomathi, "On αsg closed sets in Topological spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 50, no. 1, pp. 17-27, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V50P503