跳至主要内容

Relative Continuity and New Decompositions of Continuity in Bitopological Spaces

Read full paper at:
http://www.scirp.org/journal/PaperInformation.aspx?PaperID=52825#.VKn7D8nQrzE

Author(s)   
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. 
 

[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.                                eww150105lx
标签：

评论

发表评论

此博客中的热门博文

Does Immigration Promote the Investment of the Monopolistic Firm?

In the present paper, we examine the effect of increasing uncertainty of immigrants’ growth on the optimal timing of investment of a firm that has a monopolistic power over the labor market. It is revealed that when the uncertainty of immigrants’ growth is more than a threshold level, increasing uncertainty of immigrants’ growth accelerates the optimal timing of firms’ investment and enhances the economic growth, even if the uncertainty of immigrants’ growth is formulated by the geometric Brownian motion, which is in sharp contrast to the standard result that an increase in the uncertainty postpones the optimal timing. With an increase in the immigrants over the past ten years, workforces in the host countries have been growing significantly to the extent that the immigrants represent 70% of the increase in the workforce in Europe, and 47% in the United States as OECD indicates. In the present paper, we attempted to investigate the effect of increased uncertainty caused by the growi...
发表评论
阅读全文

Education Policy Implementation: A Mechanism for Enhancing Primary Education Development in Zanzibar

Education is one of the fundamental rights of individuals; therefore, the government of a country needs to develop and strengthen educational policy and quality as well as to ensure that everyone has equal access to basic education. The improvement of access and quality of education in the world is becoming as an essential factor in development, whereas the basic education (primary school), is acknowledged as a foundation of the higher educational development for every country. To fulfill this goal, governments introduce several policies and procedures; however, it requires some reforms and participation from the politician, policymakers, and other stakeholders to re-examine educational policy so that it can lead to multiplication and betterment of the reforms. Educational reforms actually focus on accountability. A positive educational development and reform is very challenging and needs more effort and strategy on how to use and utilize the resources effectively as such it can achie...
发表评论
阅读全文