On Weak and Strong Forms of Beta-open Sets

Authors

  • Hakeem A. Othman Department of Mathematics, Rada'a College of Education and Science, Albida University, Albida, Yemen

Abstract

In this paper, new classes of sets in general topology called a
supra--open (closed)(an infra--open (closed)) set are introduced. Using new concepts, the fundamental properties and special results are highlighted.
The relations between supra--open (closed)(an infra--open (closed)) set and other topological sets are investigated. Moreover, counter-examples are given to show that the converse of these relations in Diagram 1 need not be true, in general. Finally, some special theorems are introduced by adding condition to achieve the converse relations in Diagram 1.

References

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Published

2016-12-26

Issue

Section

Чланци