Proyecciones Journal of Mathematics Vol. 31, N^o 3, pp. 235-246, September 2012. Universidad Católica del Norte Antofagasta - Chile

 

On (i, j)-ù-preopen sets

 

N. Rajesh

Rajah Serfoji Govt. College, India

Jamal M. Mustafa

Al al-Bayt University, Jordan

 

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ABSTRACT

In this paper, we introduce and study the notion of (i, j)-u!-preopen sets as a generalization of (i, j)-preopen sets in bitopological space.

Keywords : Bitopological spaces, (i, j)-preopen sets, (i, j)-precontinuous functions.

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REFERENCES

[1] P. Fletcher, H. B. Hoyle, and C. W. Patty, The comparison of topologies, Duke Math. J., 36, pp. 325-331, (1969).         [ Links ]

[2] M. Jelic, A decomposition of pairwise continuity, J. Inst. Math. Com-put. Sci. Math. Ser., 3, pp. 25-29, (1990).         [ Links ]

[3] A. Kar and P. Bhattacharyya, Bitopological preopen sets, precontinuity and preopen mappings, Indian J. Math., 34, pp. 295-309, (1992).         [ Links ]

[4] J. C. Kelly, Bitopological spaces, Proc. London Math. Soc., 13, pp. 71-89, (1963).         [ Links ]

[5] F.H.Khedr, S. M. Al-Areefi and T. Noiri, Precontinuity and semi-precontinuity in bitopological spaces, Indian J. Pure Appl. Math., 23, pp. 625-633, (1992).         [ Links ]

[6] T. Noiri and V. Popa, On weakly precontinuous functions in bitopological spaces, Soochow J. Math., 33(1), pp. 87-100, (2007).         [ Links ]

N. Rajesh

Department of Mathematics

Rajah Serfoji Govt. College

Thanjavur-613005

Tamilnadu,

India

e-mail : nrajesh_topology@yahoo.co.in

 

Jamal M.Mustafa

Department of Mathematics Al al-Bayt University Mafraq, Jordan

e-mail : jjmmrr971@yahoo.com

Received : August 2010. Accepted : May 2012