ON WEAKLY SOFT SOMEWHAT OPEN SETS

• DOI: 10.1216/rmj.2024.54.13
• Publication Date: 2024-02-29T06:15:41Z
• Authors: Tareq M. Al-shami; Abdelwaheb Mhemdi; Amani Rawshdeh; Heyam H. Al-Jarrah

It is well known that certain topological concepts such as the sum of topologies and product are defined by particular classes other topologies. In others, it crucial to look into connections between these topology generated them. One creates a family general soft topology, which over sets satisfying basic axioms topology. interesting investigate how notions behave when applied because enables us study qualities comparing them their counterparts in this paper, we benefit from fruitful variety via introduce concept weakly somewhat open (briefly, so-sets), constructed using its corresponding notion parametric We demonstrate class stronger generalization than type, also offer condition guarantees equality. Then, present new operators discuss essential characteristics utilizing so-sets complements. unique prove so-interior subset itself or null set, whereas so-closure absolute set. Finally, provide categories mappings explore main characteristics. few examples counterexamples clarify findings relationships obtained herein.