Continuity of functions on function spaces defined on bitopological spaces

Main Article Content

E. N. Muturi
G. Pokhariyal
J. Khalaghai

Abstract

In this paper, relationships between continuous functions defined on the spaces \((Y,\tau_{1},\tau_{2})\), \((Y,\tau_{1}\vee\tau_{2})\), \((Y,\tau_{1}\wedge\tau_{2})\) and \((Y,\tau_{i})\) for \(i=1,2\) are examined. Function spaces \(s-C_{\tau}(Y,Z)\), \(p-C_{\omega}(Y,Z)\), \(1-C_{\varsigma}(Y,Z)\), \(2-C_{\zeta}(Y,Z)\), \((1,2)-C_{\varphi}(Y,Z)\) and \((2,1)-C_{\xi}(Y,Z)\) are defined and continuous functions between them explored. A homeomorphism is also established between the spaces \(1-C_{\varsigma}(Y,Z)\) and \((2,1)-C_{\xi}(Y,Z)\).

Article Details

How to Cite
Muturi, E., Pokhariyal, G., & Khalaghai, J. (2017). Continuity of functions on function spaces defined on bitopological spaces. Journal of Advanced Studies in Topology, 8(2), 130-134. https://doi.org/10.20454/jast.2017.1270
Section
Original Articles