UTILIZING SUPRA Α-Open SETS TO GENERATE NEW TYPES OF SUPRA COMPACT AND SUPRA LINDELÖF SPACES

Abstract

The purpose of this article is to introduce the concepts of supra α-compact(supra α-Lindel¨of) spaces, almost supra α-compact (almost supra α-Lindel¨of) spaces and mildly supra α-compact (mildly supra α-Lindel¨of) spaces in supra topological spaces utilizing a notion of supra α-open sets. Several properties of each concept are established and the relationships among them are provided with the help of interesting examples. A notion of supra α-limit points is presented and some properties with supra α-compactness are derived.

Some Applications of Supra Preopen Sets

“…ese generalizations have been utilized to define new versions of compactness and connectedness, see, for example [9][10][11][12][13][14]. Mustafa and Qoqazeh [15] took advantage of supra D-sets to define separation axioms on supra topological spaces.…”

Applications of some operators on supra topological spaces

“…Al-shami [18] investigated the classical topological notions such as limit points of a set, compactness, and separation axioms on the STSs. Investigation of several types of compactness and Lindelöfness was the goal of some papers such as [19][20][21][22]. Al-shami [23] introduced the concept of paracompactness on STSs and explored main properties.…”

Fuzzy Ideal Supra Topological Spaces

“…In 2016, Alshami [8] discussed the concepts of compactness and separation axioms on supra topological spaces. en, Al-Shami [9,10] and Al-shami et al [11] presented new types of supra compact spaces using supra α-open, supra semiopen, and supra preopensets. Later, the authors of [12][13][14][15] employed some generalizations of supra opensets to investigate several kinds of supra limit points of a set and supra T i spaces (i � 0, 1, 2, 3, 4).…”