On \(\delta\beta\)-Open Sets in Tri Topological Spaces

Abstract

The main aim of this paper is to study \(\delta\beta\)-open sets in tri topological spaces along with their several properties and characterizations. \(\delta\beta\)-continuous and \(\delta\beta\)-irresolute functions and some of their basic properties are discussed. Some new spaces in tri topological spaces, called \(\tau_{123}\)-\(\delta\beta\)-\(T_{k} \) spaces, \(k = 0, 1, 2\) are introduced and their properties and characterizations are analyzed.