ON α-MINIMAL AND α-MAXIMAL SETS IN TOPOLOGICAL SPACES

Khaled M. A. AL Hamadi; Ebtesam Q. A. Mohammed

doi:10.47372/ejua-ba.2020.4.62

ON α-MINIMAL AND α-MAXIMAL SETS IN TOPOLOGICAL SPACES

Authors

Khaled M. A. AL Hamadi Dept. of Math, Faculty of Science, University of Aden, Aden, Yemen
Ebtesam Q. A. Mohammed Dept. of Math, Faculty of Education - Saber, University of Aden, Aden, Yemen

DOI:

https://doi.org/10.47372/ejua-ba.2020.4.62

Keywords:

α-open, Maximal open, Minimal open, Maximal closed and minimal closed sets.

Abstract

In this paper, we introduce and study new types of sets called α-minimal open and α-maximal open sets and study some of their fundamental properties, furthermore, relation shapes between there concepts and some known concepts are studied. Finally, some counter examples are proved.

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Published

2020-12-30

How to Cite

AL Hamadi, K. M. A., & Mohammed, E. Q. A. (2020). ON α-MINIMAL AND α-MAXIMAL SETS IN TOPOLOGICAL SPACES. Electronic Journal of University of Aden for Basic and Applied Sciences, 1(4), 247–250. https://doi.org/10.47372/ejua-ba.2020.4.62