Connectedness on Hypersoft Topological Spaces

Abstract

Connectedness (resp. disconnectedness), which reflects the key characteristic of topological spaces and helps in the differentiation of two topologies, is one of the most significant and fundamental concept in topological spaces. In light of this, we introduce hypersoft connectedness (resp. hypersoft disconnectedness) in hypersoft topological spaces and investigate its properties in details. Furthermore, we present the concepts of disjoint hypersoft sets, separated hypersoft sets, and hypersoft hereditary property. Also, some examples are provided for the better understanding of these ideas.

Keywords

• hypersoft connected (resp. hypersoft disconnected)
• hypersoft topology
• hypersoft sets
• disjoint hypersoft sets
• separated hypersoft sets
• hypersoft hereditary property