Nearly Soft Menger Spaces
In this paper, we define a weak type of soft Menger spaces, namely, nearly soft Menger spaces. We give their complete description using soft s-regular open covers and prove that they coincide with soft Menger spaces in the class of soft regular⋆ spaces. Also, we study the role of enriched and soft r...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/3807418 |
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| author | Tareq M. Al-shami Ljubiša D. R. Kočinac |
| author_facet | Tareq M. Al-shami Ljubiša D. R. Kočinac |
| author_sort | Tareq M. Al-shami |
| collection | DOAJ |
| description | In this paper, we define a weak type of soft Menger spaces, namely, nearly soft Menger spaces. We give their complete description using soft s-regular open covers and prove that they coincide with soft Menger spaces in the class of soft regular⋆ spaces. Also, we study the role of enriched and soft regular spaces in preserving nearly soft Mengerness between soft topological spaces and their parametric topological spaces. Finally, we establish some properties of nearly soft Menger spaces with respect to hereditary and topological properties and product spaces. |
| format | Article |
| id | doaj-art-8371f27372044d1a8121814a6b4b214d |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-8371f27372044d1a8121814a6b4b214d2025-02-03T06:05:15ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/38074183807418Nearly Soft Menger SpacesTareq M. Al-shami0Ljubiša D. R. Kočinac1Department of Mathematics, Sana’a University, Sana’a, YemenUniversity of Niš, Faculty of Sciences and Mathematics, 18000 Niš, SerbiaIn this paper, we define a weak type of soft Menger spaces, namely, nearly soft Menger spaces. We give their complete description using soft s-regular open covers and prove that they coincide with soft Menger spaces in the class of soft regular⋆ spaces. Also, we study the role of enriched and soft regular spaces in preserving nearly soft Mengerness between soft topological spaces and their parametric topological spaces. Finally, we establish some properties of nearly soft Menger spaces with respect to hereditary and topological properties and product spaces.http://dx.doi.org/10.1155/2020/3807418 |
| spellingShingle | Tareq M. Al-shami Ljubiša D. R. Kočinac Nearly Soft Menger Spaces Journal of Mathematics |
| title | Nearly Soft Menger Spaces |
| title_full | Nearly Soft Menger Spaces |
| title_fullStr | Nearly Soft Menger Spaces |
| title_full_unstemmed | Nearly Soft Menger Spaces |
| title_short | Nearly Soft Menger Spaces |
| title_sort | nearly soft menger spaces |
| url | http://dx.doi.org/10.1155/2020/3807418 |
| work_keys_str_mv | AT tareqmalshami nearlysoftmengerspaces AT ljubisadrkocinac nearlysoftmengerspaces |