BINARY TOPOLOGY BASED ON SOME NEW SETS

Abstract

In this chapter, we introduce and some new sets called binary -open sets, binary -sets, binary -sets, binary -closed sets, binary -sets and binary -sets , which are simple forms of binary open sets in binary topological spaces. Also we characterize these sets and study their related properties with binary open sets. The independence of such as binary pre open sets and binary -closed sets, binary -closed sets and binary -closed sets, binary -open sets and binary -sets are established. Also decomposition of binary -open subset into a binary -open subset and binary pre open sets is arrived. Finally, the notion of a binary kernel is introduced, and its properties are investigated.