Some properties of weak form of $\gamma$-semi-open sets

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Published: Sep 30, 2012
DOI: https://doi.org/10.5556/j.tkjm.43.2012.771
Keywords:
$\gamma$-semi-closed (open) $\gamma$-semi-closure(interior) maximal $\gamma$-semi-open $\gamma$-semi-radical.

Main Article Content

Sabir Hussain
Mohammad Ahmad Alghamdi

Abstract

In this paper, we introduce and explore fundamental properties of weak form of $\gamma$-semi-open sets namely maximal $\gamma$-semi-open sets in topological spaces such as decomposition theorem for maximal $\gamma$-semi-open set. Basic properties of intersection of maximal $\gamma$-semi-open sets are established, such as the $\gamma$-semi-closure law of $\gamma$-semi-radical.

Article Details

How to Cite
Hussain, S., & Alghamdi, M. A. (2012). Some properties of weak form of $\gamma$-semi-open sets. Tamkang Journal of Mathematics, 43(3), 329–338. https://doi.org/10.5556/j.tkjm.43.2012.771
Issue
Vol. 43 No. 3 (2012)
Section
Papers
Author Biographies

Sabir Hussain

Department of Mathematics,Yanbu University,P. O. Box 31387
Yanbu Alsinaiyah,Saudi Arabia

Mohammad Ahmad Alghamdi

Department of Mathematics, King Abdul Aziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia

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