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On μ-β-Lindelöf sets in generalized topological spaces
We introduce and study μ-β-Lindelöf sets in generalized topological spaces (GTSs) as a subclass of both μ-semi-Lindelöf sets and strongly μ-Lindelöf sets. We also introduce and study a new type of generalized open sets in GTSs, called [Formula: see text]-β-open sets, and apply them to obtain more pr...
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| Formato: | Online Artículo Texto |
| Lenguaje: | English |
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Elsevier
2023
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| Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9958440/ https://www.ncbi.nlm.nih.gov/pubmed/36851974 http://dx.doi.org/10.1016/j.heliyon.2023.e13597 |
| _version_ | 1784895025087250432 |
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| author | Sarsak, Mohammad S. |
| author_facet | Sarsak, Mohammad S. |
| author_sort | Sarsak, Mohammad S. |
| collection | PubMed |
| description | We introduce and study μ-β-Lindelöf sets in generalized topological spaces (GTSs) as a subclass of both μ-semi-Lindelöf sets and strongly μ-Lindelöf sets. We also introduce and study a new type of generalized open sets in GTSs, called [Formula: see text]-β-open sets, and apply them to obtain more properties of μ-β-Lindelöf sets. |
| format | Online Article Text |
| id | pubmed-9958440 |
| institution | National Center for Biotechnology Information |
| language | English |
| publishDate | 2023 |
| publisher | Elsevier |
| record_format | MEDLINE/PubMed |
| spelling | pubmed-99584402023-02-26 On μ-β-Lindelöf sets in generalized topological spaces Sarsak, Mohammad S. Heliyon Research Article We introduce and study μ-β-Lindelöf sets in generalized topological spaces (GTSs) as a subclass of both μ-semi-Lindelöf sets and strongly μ-Lindelöf sets. We also introduce and study a new type of generalized open sets in GTSs, called [Formula: see text]-β-open sets, and apply them to obtain more properties of μ-β-Lindelöf sets. Elsevier 2023-02-09 /pmc/articles/PMC9958440/ /pubmed/36851974 http://dx.doi.org/10.1016/j.heliyon.2023.e13597 Text en © 2023 The Author https://creativecommons.org/licenses/by/4.0/This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). |
| spellingShingle | Research Article Sarsak, Mohammad S. On μ-β-Lindelöf sets in generalized topological spaces |
| title | On μ-β-Lindelöf sets in generalized topological spaces |
| title_full | On μ-β-Lindelöf sets in generalized topological spaces |
| title_fullStr | On μ-β-Lindelöf sets in generalized topological spaces |
| title_full_unstemmed | On μ-β-Lindelöf sets in generalized topological spaces |
| title_short | On μ-β-Lindelöf sets in generalized topological spaces |
| title_sort | on μ-β-lindelöf sets in generalized topological spaces |
| topic | Research Article |
| url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9958440/ https://www.ncbi.nlm.nih.gov/pubmed/36851974 http://dx.doi.org/10.1016/j.heliyon.2023.e13597 |
| work_keys_str_mv | AT sarsakmohammads onmblindelofsetsingeneralizedtopologicalspaces |