Back
 IJMNTA  Vol.3 No.5 , December 2014
Relative Continuity and New Decompositions of Continuity in Bitopological Spaces
Abstract: The aim of this work is to introduce some weak forms of continuity in bitopological spaces. Then we use these new forms of weak continuity to give many decompositions of i-continuity and pairwise continuity.
Cite this paper: Alblowi, S. (2014) Relative Continuity and New Decompositions of Continuity in Bitopological Spaces. International Journal of Modern Nonlinear Theory and Application, 3, 248-255. doi: 10.4236/ijmnta.2014.35027.
References

[1]   Kelly, J.C. (1963) Bitopological Spaces. Proceedings of the London Mathematical Society, 13, 71-89.

[2]   Bose, S. and Sinha, D. (1982) Pairwise Almost Continuous Map and Weakly Continuous Map in Bitopological Spaces. Bulletin of Calcutta Mathematical Society, 74, 195-206.

[3]   Bose, S. (1981) Semi Open Sets, Semi Continuity and Semi Open Mappings in Bitopological Spaces. Bulletin of Calcutta Mathematical Society, 73, 237-246.

[4]   Jelic, M. (1990) A Decomposition of Pairwaise. Institute of Mathematics & Computer Sciences. Journal. (Computer Science Series), 3, 25-29.

[5]   Khedr, F.H. (1992) cα-Continuity in Bitopological Spaces. The Arabian Journal for Science and Engineering, 17, 85-89.

[6]   Khedr, F.H. and Al-Blowi, S.A. (2007) Pj- -Open Sets and Pj- -Continuity in Bitopological Spaces (1). Assiut Univ. J. of Mathematics and Computer Science, 36, 1-19.

[7]   Kilicman, A. and Salleh, Z. (2010) Mappings and Decompositions of Pairwise Continuity on Pairwise Nearly Lindelof Spaces. Albanian Journal of Mathematics, 4, 31-47.

[8]   Levine, N. (1961) A Decomposition of Continuity in Topological Spaces. American Mathematical Monthly, 68, 44-46.
http://dx.doi.org/10.2307/2311363

[9]   Tong, J. (2004) Classification of Weak Continuities and Decomposition of Continuity. International Journal of Mathematics and Mathematical Sciences, 2004, 2755-2760.

 
 
Top