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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Main Authors: Tareq M. Al-shami, Ljubiša D. R. Kočinac
Format: Article
Language:English
Published: Wiley 2020-01-01
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
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institution Kabale University
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publishDate 2020-01-01
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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
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