Volume 38 | Number 1 | Year 2016 | Article Id. IJMTT-V38P507 | DOI : https://doi.org/10.14445/22315373/IJMTT-V38P507
In this paper we introduce new types of topological ordered spaces with the help of g-closed, g*-closed sets and sg-closed sets. We define gi 1/2 T , gdT1/2 , gb 1/ 2 T , g i * 1/2 T , g d* 1/2 T , g b* 1/ 2 T ,sgi 1/2 T , sgdT1/2 , sgb 1/ 2 T spaces and study the relations between these spaces.
[1] L. Nachbin, Topology and order, D.VanNostrand Inc., Princeton, New Jersey (1965).
[2]M.K.R.S.Veera Kumar, Homeomorphisms in topological ordered spaces, Acta CienciaIndica, XXVIII (M) (1)(2002), 67-76.
[3] M.K.R.S. Veera Kumar, Between closed sets and g-closed sets, Mem. Fac. Sci. Kochi Univ. Ser. A, Math., 21(2000), 1-19.
[4] N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly, 70(1963), 36-41.
[5] N. Levine, Generalized closed sets in topology, Rend. Circ. Math. Palermo, 19(2) (1970), 89-96.
[6] P. Bhattacharya and B.K. Lahiri, Semi-generalized closed sets in topology, Indian J. Math., 29(3) (1987), 375-382.
[7] V.V.S. Ramachnadram, B. Sankara Rao and M.K.R.S. Veera Kumar, g-closed type, g*-closed type and sg-closed type sets in topological ordered spaces, Diophantus J. Math., 4(1) (2015), 1-9.
[8] V.V.S. Ramachandran, B. Sankara Rao and M.K.R.S.Veera Kumar, On some Applications of g*-closed, g-closed and sg-closed type sets in topological ordered spaces, Galois J., Math., 2(1)(2015),1-8.
V.V.S. Ramachandram, Dr. B. Sankara Rao, "On New Types of T1/2 Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 38, no. 1, pp. 39-47, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V38P507