Weak separation axioms via almost-ID-sets

Subject Areas : General topology

A. A. Nasef ¹ , A. M. Elfky ² , N. Youns ³ , R. Mareay ⁴

1 - Department of Physics and Engineering Mathematics, Faculty of Engineering, Kafrelsheikh University, Kafrelsheikh 33516, Egypt
2 - Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh 33516, Egypt
3 - Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh 33516, Egypt
4 - Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh 33516, Egypt

Received: 2020-08-22 Accepted : 2020-12-25 Published : 2020-12-01

Keywords: Ideal topological spaces, almost-I-open set, almost-ID-set,

Abstract :

The purpose of this paper is to introduce some new classes of almost ideal topological spaces by using the notion of almost-$I$-open sets and study some of their fundamental properties. We study some low separation axioms in almost ideal topological spaces.

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