On Two Classes of Soft Sets in Soft Topological Spaces

In this paper, we define soft ω -open sets and strongly soft ω -open sets as two new classes of soft sets. We study the natural properties of these types of soft sets and we study the validity of the exact versions of some known results in ordinary topological spaces regarding ω -open sets in soft t...

Full description

Saved in:
Bibliographic Details
Published inSymmetry (Basel) Vol. 12; no. 2; p. 265
Main Authors Al Ghour, Samer, Hamed, Worood
Format Journal Article
LanguageEnglish
Published MDPI AG 01.02.2020
Subjects
generated soft topology
soft lindelof
soft weakly lindelof
ω-open sets
Online AccessGet full text

Cover

More Information
Summary:In this paper, we define soft ω -open sets and strongly soft ω -open sets as two new classes of soft sets. We study the natural properties of these types of soft sets and we study the validity of the exact versions of some known results in ordinary topological spaces regarding ω -open sets in soft topological spaces. Also, we study the relationships between the ω -open sets of a given indexed family of topological spaces and the soft ω -open sets (resp. strongly soft ω -open sets) of their generated soft topological space. These relationships form a biconditional logical connective which is a symmetry. As an application of strongly soft ω -open sets, we characterize soft Lindelof (resp. soft weakly Lindelof) soft topological spaces.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym12020265