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On a-locally closed sets

2024/08/06 by Bilge İzci, İzci, Bilge, Murad Özkoç +1
Decision Sciences · #54A05 #54C10 #54D05 #54F65 #FOS: Mathematics #Fuzzy and Soft Set Theory #General Topology (math.GN)

paper · pdf · doi:10.48550/arxiv.2408.03169

openalex publication_date 2024/08/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 local closed sets in the literature have been revealed.

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