On $a$-locally closed sets

Subject Areas : General topology

B. İzci ¹ , M. Özkoc ²

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Received: 2024-05-16 Accepted : 2024-08-09 Published : 2024-08-13

Keywords: $a$-locally closed, $a$-locally open, $a$-dense, $a$-submaximal, $a$-separated,

Abstract :

The aim of this paper is to introduce the notion of $a$-locally closed set by utilizing $a$-open sets defined by Ekici and to study some properties of this new notion. Also, some characterizations and many fundamental results regarding this new concept are obtained. Moreover, the relationships between the concepts defined within the scope of this study and some other types of locally closed sets in the literature have been revealed.

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