In the present paper, we introduce binary soft topological spaces which are defined over two initial universe sets with a fixed set of parameters. The notions of binary soft open sets, binary soft closed sets, binary soft closure, binary soft interior, binary soft boundary, binary soft neighborhood of a point are introduced and their basic properties are investigated with the suitable examples. These results are fundamental for further research on binary soft topology and will strengthen the foundations of the theory of binary soft topological spaces.
In this paper, we have constructed a sequence of soft points in one soft set with respect to a fixed soft point of another soft set. The convergence and boundedness of these sequences in soft Δ-metric spaces are defined and their properties are established. Further, the complete soft Δ-metric spaces are introduced by defining soft Δ-Cauchy sequences.
In the year 2014, the present authors introduced and studied the concept of gωα-closed sets in topological spaces. The purpose of this paper to introduce a new class of locally closed sets called gωα-locally closed sets (briefly gωαlc-sets) and study some of their properties. Also gωα-locally closed continuous (briefly gωαlc-continuous) functions and its irresolute functions are introduced and studied their properties in topological spaces.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.