# Continuity of functions on function spaces defined on bitopological spaces

• E. N. Muturi Egerton University
• G. Pokhariyal University of Nairobi
• J. Khalaghai University of Nairobi

### 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 $$(2,1)-C_{\xi}(Y,Z)$$.

Published
2017-11-07
How to Cite
MUTURI, E. N.; POKHARIYAL, G.; KHALAGHAI, J.. Continuity of functions on function spaces defined on bitopological spaces. Journal of Advanced Studies in Topology, [S.l.], v. 8, n. 2, p. 130-134, nov. 2017. ISSN 2090-388X. Available at: <http://m-sciences.com/index.php?journal=jast&page=article&op=view&path%5B%5D=1270>. Date accessed: 23 feb. 2018. doi: https://doi.org/10.20454/jast.2017.1270.
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