Soft Regular Generalized <i>ω</i>-Closed Sets and Soft <i>ω</i>-<i>T</i>_1/2 Spaces

Abstract

Soft rgω-closed sets are introduced as a new class of soft sets that strictly contain the classes of soft rg-closed sets and soft gω-closed sets. Furthermore, the behavior of soft rgω-closed sets with respect to soft unions, soft intersections, and soft subspaces, as well as induced soft topologies are investigated. Moreover, soft ω-T1/2 spaces which is a weaker form soft T1/2 spaces is defined and investigated. In addition to these, the characterizations of soft rg-T1/2 spaces and soft rgω-T1/2 spaces are discussed. The work also looks at the relationship between our novel notions in soft topological spaces and their analogs in topological spaces.

Keywords

• <i>gω</i>-closed sets
• <i>rg</i>-closed sets
• <i>T</i>_1/2 spaces
• soft <i>gω</i>-closed sets
• soft <i>rg</i>-closed sets
• soft <i>T</i>_1/2 spaces