We define and study the notions of closure \text{\rsfs{C}} operators and
interior I operators of the category CCov of convergent
covers which appears in positive topologies. The main motivation of this paper
is to construct the concrete categories \mathbf{\text{\rsfs{C}}\text{-}
CCov}, \ of\ CCov-spaces, and I-CCov, \ of\ CCov-spaces and deduce that they are topological
categories.Comment: 21 page