# Continuity of functions on function spaces defined on bitopological spaces

## 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
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