Some new results concerning $e\text{-}\theta\text{-}$open sets

Journal of Linear and Topological Algebra

دوره 11، شماره 04، اسفند 2022، صفحه 279-292   

نوع مقاله: Research Paper

شناسه دیجیتال (DOI): 10.30495/jlta.2022.699627

نویسندگان

D. Akalin¹؛ M. Özkoc^{* 2}

¹Department of Mathematics‎, ‎Graduate School of Natural and Applied Sciences‎, ‎Mu\v{g}la S{\i}tk{\i} Ko\c{c}man University‎, ‎48000‎, ‎Mente\c{s}e-Mu\v{g}la‎, ‎Turkey

²Department of Mathematics‎, ‎Faculty of Science‎, ‎Mu\v{g}la S{\i}tk{\i} Ko\c{c}man University‎, ‎48000‎, ‎Mente\c{s}e-Mu\v{g}la‎, ‎Turkey

چکیده

‎The main purpose of this paper is to study the class of $e\text{-}\theta$-open sets and explore some of their new properties‎. ‎Also‎, ‎we introduce and study some weak separation axioms by utilizing $e\text{-} \theta$-open sets‎. ‎In addition‎, ‎we define the notion of $e\text{-}\theta\text{-}$kernel and slightly $e\text{-}\theta\text{-}R_0$ spaces‎. ‎Furthermore‎, ‎we apply them to discuss some fundamental properties of the graph functions‎. ‎We obtain not only some characterizations but also many new results‎.

کلیدواژه‌ها

$e$-open set؛ $e$-$\theta$-open set؛ $e$-$\theta$-closed set؛ $e$-$\theta$-closure

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