( ti , tj ) * - Q* g closed sets in bitopological spaces

P. Padma

Abstract


The aim of this paper is to introduced the new type of closed sets called ( ti , tj )* - Q* g closed set . We introduce and study a new class of spaces namely ( ti , tj )* - Q*g T1/2 space and ( ti , tj )* - Q* g T3/4 space . Also we find some basic properties and applications of ( ti , tj )*? - Q* g closed sets .


Keywords


( ti , tj )* - Q* g open ; ( ti , tj )* - Q* g closed ; ( ti , tj )* - Q*g space and ( ti , tj )* - Q*g space .

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References


Bhattacharya, P and Lahiri, B.K, Semi-generalized closed sets in topology, Indian J. Math., 29 (3)(1987), 375382.

Bourbaki, N, General Topology, Part I, Additson-Wesley, Reading, Mass., (1966).

Chandrasekhara Rao, K and Palaniappan, N, Regular generalized closed sets, Kyungpook Math. J., 33 (2) (1993), 211219.

Cueva, M.C, On g-closed sets and g-continuous mappings, Kyungpook Math. J., 33 (2) (1993), 205209.

Dunham, W, T1/2-spaces, Kyungpook Math. J., 17 (1977), 161169.

Fukutake, T, Semi open sets on bitopological spaces, Bull. Fukuoka Uni. Education, 38(3)(1989), 17.

Fukutake, T, On generalized closed sets in bitopological spaces, Bull. Fukuoka Univ. Ed. Part III, 35 (1986), 1928.

Khedr, F.H and Al-saadi, H.S, On pairwise semi-generalized closed sets, (submitted).

Kelly, J.C, Bitopological spaces, Proc. London Math. Society, 13(1963),7189.

Levine, N, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly, 70 (1963), 36-41.

Levine, N, Generalized closed sets in topology, Rend. Circ. Mat. Palermo, 19 (2) (1970), 8996.

Maheshwari, S.N and Prasad, R, Semiopen sets and semi continuous functions in bitopological spaces, Math. Note, 26 (1977/78), 2937.

Maki, H, Devi, R and Balachandran, K, Semi-generalized closed maps and generalized semi-closed maps, Mem. Fac. Sci. Kochi Univ. Ser. A, Math., 14 (1993), 4154.

Maki, H, Devi, R and Balachandran, K, Remarks on semi-generalized closed sets and generalized semi-closed sets, Kyungpook Math. J., to appear.

Maki, H, Sundaram, P and Balachandran, K, On generalized continuous maps in topological spaces, Mem. Fac. Sci. Kochi Univ. Ser. A, Math., 12 (1991), 513.

Murugalingam.M and Laliltha.N , Q star sets , Bulletin of pure and applied Sciences , Volume 29E Issue 2 ( 2010 ) p. 369 - 376 .

Murugalingam.M and Laliltha.N, Q* sets in various spaces , Bulletin of pure and applied Sciences , Volume 3E Issue 2 ( 2011 ) p. 267 - 277 .

Padma.P and Udayakumar.S ? 1 ? 2 - Q* continuous maps in bitopological spaces , Asian Journal of Current Engineering and Mathematics , 1 : 4 Jul - Aug ( 2012 ) , 227 - 229 .

Padma.P and Udayakumar.S ( ? 1 , ? 2 )* - Q* closed sets in bitopological spaces , International Journal of Mathematical Achieve 3 ( 7 ) , 2012 , 2568 - 2574 .

Padma . P , Udayakumar . S and Chandrasekhara Rao . K ( ? 1 , ? 2 )* - Q* continuous maps in bitopological spaces International Journal of Mathematical Achieve , 3 ( 8 ) , 2012 , 2990 2996 .

Padma.P and Udayakumar., Pairwise Q* separation axioms in bitopological spaces International Journal of Mathematical Achieve 3 ( 12 ) , 2012 , 4959 - 4971 .

Padma.P and Udayakumar.S, Q* g closed sets in topological space , International Journal of Advance Research in Engineering and Applied Sciences , Volume 1 , 2015 .

Stone, M, Application of the theory of Boolean rings to general topology, Trans. Amer. Math. Soc. 41 (1937), 374-481.

Veera Kumar, M.K.R.S, Between closed sets and g-closed sets, Mem. Fac. Sci. Kochi Univ. Ser. A, Math., 21 (2000), 119.


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