On $a$-locally closed sets
محورهای موضوعی : General topology
1 - Department of Mathematics, Faculty of Sciences, Mugla Sıtkı Kocman University, 48000, Mentese-Mugla, Turkey
2 - Department of Mathematics, Graduate School of Natural and Applied Sciences, Mugla Sıtkı Kocman University, 48000, Mentese-Mugla, Turkey
کلید واژه: $a$-locally closed, $a$-locally open, $a$-dense, $a$-submaximal, $a$-separated,
چکیده مقاله :
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.
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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