On $a$-locally closed sets
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866914902739779584 |
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| author | İzci, Bilge Özkoç, Murad |
| author_facet | İzci, Bilge Özkoç, Murad |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_03169 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On $a$-locally closed sets İzci, Bilge Özkoç, Murad General Topology 54A05, 54C10, 54D05, 54F65 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. |
| title | On $a$-locally closed sets |
| topic | General Topology 54A05, 54C10, 54D05, 54F65 |
| url | https://arxiv.org/abs/2408.03169 |