CO-RS-COMPACT TOPOLOGIES

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Published: Sep 1, 1993
DOI: https://doi.org/10.5556/j.tkjm.24.1993.4504
Keywords:
RS-compact spaces RS-continuous functions extremely disconnected scmi-T2 a-compact spaces Ro-spaces

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M. E. ABD EL-MONSEF
Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt.
A. M. KOZAE
Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt.
A. A. ABO KHADRA
Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt.

Abstract




A topology $R(\tau)$ is contructed from a given topolgy $\tau$ on a set $X$ . $R(\tau)$ is coarser than $\tau$, and the following are some results based on this topology:


1. Continuity and RS-continuity are equivalent if the codomain is re­ topologized by $R(\tau)$.


2. The class of semi-open sets with respect to $R(\tau)$ is a topology.


3. $T_2$ and semi-$T_2$ properties are equivalent on a space whose topology is $R(\tau)$.


4. Minimal $R_0$-spaces are RS-compact:




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How to Cite
EL-MONSEF, M. E. A., KOZAE, A. M., & KHADRA, A. A. A. (1993). CO-RS-COMPACT TOPOLOGIES. Tamkang Journal of Mathematics, 24(3), 323–332. https://doi.org/10.5556/j.tkjm.24.1993.4504
Issue
Vol. 24 No. 3 (1993)
Section
Papers
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