(T1, T2)*- Semi Star Generalized Locally Closed Sets

• Main Authors: M. Sundararaman, K. Chandrasekhara Rao
• Format: Text
• Language: English
• Published: Zenodo 2011
• Subjects: T1; T2*-semi star generalized locally closed sets; T1T2-semi star generalized closed sets.; Cueva; Indian; Maki; Antarc*; Antarctica
• Online Access: https://dx.doi.org/10.5281/zenodo.1081212; https://zenodo.org/record/1081212

The aim of this paper is to continue the study of (T1, T2)-semi star generalized closed sets by introducing the concepts of (T1, T2)-semi star generalized locally closed sets and study their basic properties in bitopological spaces. : {"references": ["P. Bhattacharya and B.K. Lahiri, Semi-generalized closed sets in topology, Indian J. Math., 29 (3)(1987), 375-382.", "M.C. Cueva, On g-closed sets and g-continuous mappings, Kyungpook\nMath. J., 33 (2) (1993), 205-209.", "K. Chandrasekhara Rao and K. Joseph, Semi star generalized closed\nsets, Bulletin of Pure and Applied Sciences, 19E(No 2) 2000, 281-290", "K. Chandrasekhara Rao and K. Kannan, Semi star generalized closed\nsets and semi star generalized open sets in bitopological spaces,\nVar\u252c\u00bbahmihir Journal of Mathematical Sciences, Vol.5, No 2(2005) 473-485.", "K. Chandrasekhara Rao, K. Kannan and D. Narasimhan,\nCharacterizations of 12-sg closed sets, Acta Ciencia Indica,\nVol. XXXIII, No. 3, (2007) 807-810.", "K. Chandrasekhara Rao and K. Kannan, sg-locally closed sets in\ntopological spaces,Bulletin of Pure and Applied Sciences, Vol. 26E\n(No.1), 2007, 59-64.", "K.Chandrasekhara Rao and K. Kannan, Some properties of sg-locally\nclosed sets, Journal of Advanced Research in Pure Mathematics, 1 (1)\n(2009), 1-9.", "K.Chandrasekhara Rao and K. Kannan, sg-locally closed sets in\nbitopological spaces,Int. J. Contemp. Math. Sciences, Vol. 4, no. 12\n(2009), 597-607.", "K. Chandrasekhara Rao and N. Planiappan, Regular generalized closed\nsets, Kyungpook Math. J., 33 (2) (1993), 211-219.\n[10] J. Dontchev, On submaximal spaces, Tamkang J. Math., 26(3) (1995),\n243-250.\n[11] T. Fukutake, Semi open sets on bitopological spaces, Bull. Fukuoka Uni.\nEducation, 38(3)(1989), 1-7.\n[12] T. Fukutake, On generalized closed sets in bitopological spaces, Bull.\nFukuoka Univ. Ed. Part III, 35 (1986), 19-28.\n[13] M. Ganster , Arockiarani and K. Balachandran, Regular generalized\nlocally closed sets and RGLC-contiunuous functions, Indian J. Pure\nand Appl. Math., 27 (3)(1996), 235-244.\n[14] M. Ganster and I.L. Reilly, Locally closed sets and LC contiunuous\nfunctions, International J. Math. and Math. Sci., 12 (1989), 417-424.\n[15] M. Ganster, I.L. Reilly and J. Cao, On sg-closed sets and g-closed\nsets, Preprint\n[16] M. Ganster, I.L. Reilly and J. Cao, Summaximality, extremal\ndisconnectedness and generalized closed sets, Houston Journal of\nMathematics, 24 (4) (1998), -.\n[17] M. Ganster, I.L. Reilly and M.K. Vamanamurthy, Remarks on locally\nclosed sets, Math. Panon., 3 (2) (1992), 107-113.\n[18] Y. Gnananmbal and K. Balachandran, -locally closed sets and -LC\ncontinuous functions, Mem. Fac. Sci. Kochi Univ. Ser. A, Math., 19\n(1998), 35-44.\n[19] M. Jelic, On pairwise lc-continuous mappings, Indian J. Pure Appl.\nMath., 22 (1) (1991), 55-59.\n[20] K. Kannan, D. Narasimhan, K. Chandrasekhara Rao and\nM. Sundararaman, (1, 2)-Semi Star Generalized Closed Sets\nin Bitopological Spaces, Journal of Advanced research in Pure\nMathematics, Vol. 2, No. 3 (2010), 34-47.\n[21] J. C. Kelly, Bitopological spaces, Proc. London Math. Society,\n13(1963),71-89.\n[22] T.Y. Kong, R. Kopperman and P.R. Meyer, A topological approach to\ndigital topology, Amer. Math. Monthly, 98 (1991), 901-917.\n[23] M. Lellis Thivagar and O. Ravi, A Bitopological (1, 2)-semi\ngeneralised continuous maps, Bull. Malays. Math. Sci. Soc., 2006, (2)\n29(1): 79-88.\n[24] N. Levine, Semi-open sets and semi-continuity in topological spaces,\nAmer. Math. Monthly, 70 (1963), 36-41.\n[25] N.Levine, Generalized closed sets in topology, Rend. Circ. Mat.\nPalermo, 19 (2) (1970), 89-96.\n[26] H. Maki, P. Sundaram and K. Balachandran, Generalized locally closed\nsets and glc-continuous functions, Indian J. Pure Appl. Math., 27(3)\n(1996), 235-244.\n[27] N. Palaniappan and R. Alagar, Regular generalized locally closed sets\nwith respect to an ideal, Antarctica J. Math, 3 (1) (2006), 1-6.\n[28] Shantha Bose, Semi open sets, semi continuity and semi open mappings\nin bitopological spaces, Bull. Cal. Math. Soc., 73 (1981), 237-246.\n[29] M.K.R.S. Veera Kumar, g\u00d4\u00d6\u00bb-locally closed sets and G\u00d4\u00d6\u00bbLC-functions,\nAntartica J. Math., 1(1) 2004, 35-46"]}