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

  • Sabir Hussain
  • Mohammad Ahmad Alghamdi
Keywords: $\gamma$-semi-closed (open), $\gamma$-semi-closure(interior), maximal $\gamma$-semi-open, $\gamma$-semi-radical.

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.

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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Published
2012-09-30
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
Section
Papers