Some applications of generalized open sets via operations

Abstract

Keywords

• g-γ-open sets,gγg-closed sets,g-γ-T_i spaces (i∈{0,1/2,1,2}),g-(γ,β)-continuous functions,g-β-closed graphs

Kaynakça

1. T.V. An, D.X. Cuong and H. Maki, On operation-preopen sets in topological spaces, Scientiae Mathematicae Japonicae Online, 68 1 (2008), 11-30, (e-2008), 241-260.
2. C. Carpintero, N. Rajesh and E. Rosas, Operation approaches on b-open sets and applications, Bulletin of Parana’s Mathematical Society, 30 1 (2012), 21-33.
3. T. Husain, Topology and Maps, Plenum press, New York, (1977).
4. D. S. Jankovic, On functions with α-closed graphs, Glasnik Matematicki, 18 38 (1983), 141-148.
5. N. Levine, Generalized closed sets in topology, Rendiconti del Circolo Matematico di Palermo, 19 1 (1970), 89-96.
6. S. Kasahara, Operation compact spaces, Math. Japonica, 24 1 (1979), 97-105.
7. G. S. S. Krishnan, M. Ganster and K. Balachandran, Operation approaches on semi-open sets and applications, Kochi Journal of Mathematics, 2 (2007), 21-33.
8. H. Ogata, Operation on topological spaces and associated topology, Math. Japonica, 36 1 (1991), 175-184.

9. S. Tahiliani, Operation approach to β-open sets and applications, Mathematical Communications, 16 (2011), 577-591.