Nearly Menger covering property via bitopological spaces
This paper is a continuation and complement for previous works on selective covering properties. We introduce the novel concept of the nearly Menger property in a bitopological context. We demonstrate its interrelations with existing covering properties and construct certain equivalences between tho...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-12-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20241623 |
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| _version_ | 1832590734486667264 |
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| author | Necati Can Açıkgöz Ceren Sultan Elmalı |
| author_facet | Necati Can Açıkgöz Ceren Sultan Elmalı |
| author_sort | Necati Can Açıkgöz |
| collection | DOAJ |
| description | This paper is a continuation and complement for previous works on selective covering properties. We introduce the novel concept of the nearly Menger property in a bitopological context. We demonstrate its interrelations with existing covering properties and construct certain equivalences between those. We also investigate various properties of nearly Menger bitopological spaces by considering it under subspaces, products, and certain type of mappings. |
| format | Article |
| id | doaj-art-338eab1d7a5c41578d27ccbd804a3052 |
| institution | Kabale University |
| issn | 2473-6988 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-338eab1d7a5c41578d27ccbd804a30522025-01-23T07:53:25ZengAIMS PressAIMS Mathematics2473-69882024-12-01912340423406610.3934/math.20241623Nearly Menger covering property via bitopological spacesNecati Can Açıkgöz0Ceren Sultan Elmalı1Department of Mathematics, Erzurum Technical University, Yakutiye, Erzurum 25050, TurkeyDepartment of Mathematics, Erzurum Technical University, Yakutiye, Erzurum 25050, TurkeyThis paper is a continuation and complement for previous works on selective covering properties. We introduce the novel concept of the nearly Menger property in a bitopological context. We demonstrate its interrelations with existing covering properties and construct certain equivalences between those. We also investigate various properties of nearly Menger bitopological spaces by considering it under subspaces, products, and certain type of mappings.https://www.aimspress.com/article/doi/10.3934/math.20241623selection principlescovering propertiesbitopological spacesmenger spacesgeneralized open sets |
| spellingShingle | Necati Can Açıkgöz Ceren Sultan Elmalı Nearly Menger covering property via bitopological spaces AIMS Mathematics selection principles covering properties bitopological spaces menger spaces generalized open sets |
| title | Nearly Menger covering property via bitopological spaces |
| title_full | Nearly Menger covering property via bitopological spaces |
| title_fullStr | Nearly Menger covering property via bitopological spaces |
| title_full_unstemmed | Nearly Menger covering property via bitopological spaces |
| title_short | Nearly Menger covering property via bitopological spaces |
| title_sort | nearly menger covering property via bitopological spaces |
| topic | selection principles covering properties bitopological spaces menger spaces generalized open sets |
| url | https://www.aimspress.com/article/doi/10.3934/math.20241623 |
| work_keys_str_mv | AT necaticanacıkgoz nearlymengercoveringpropertyviabitopologicalspaces AT cerensultanelmalı nearlymengercoveringpropertyviabitopologicalspaces |