Mathematical structures via $e$-open sets

Subject Areas : Set theory

B.  Ayhan ¹ (Quality Management Unit, Rectorate, Turkish-German University, 34820, Beykoz-Istanbul, Turkey)

Received: 2022-08-15 Accepted : 2022-09-30 Published : 2022-09-01

Keywords: $e$-open set, $e$-kernel, ‎$‎\Lambda$-set, $\lambda$-closed set, $\lambda$-derived set,

Abstract :

Considering the $e$-kernel defined by \"{O}zko\c{c} and Ayhan [18] in a topological space, a new type of generalized closed set is studied through this article. The aim of this paper is to introduce a new class of sets called $ge\Lambda$-closed sets and $ge\Lambda$-open sets in a topological space and to study their properties and characterizations.

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