On the class of weakly almost contra-$T^\ast$-continuous functions

The aim of this paper is to introduce and investigate a new class of functions called weakly almost contra-$T^*$-continuous, defined as functions from an operator topological space $(X,\tau,T)$ into an arbitrary topological space $(Y,\delta)$. Furthermore, some new characterizations, several basic propositions are proved and some relevant counterexamples are provided.