  Topological semantics for modal logics has recently gained new momentum in
many different branches of logic. In this paper, we will consider the
topological semantics of both classical and paraconsistent modal logics.
  This work is a new step in the research program that focuses on
paraconsistent systems from geometric and topological point of view. Here, we
discuss the functional transformations in paraconsistent and classical modal
cases: how to transform one classical or paraconsistent topological model to
another, how to transform one transformation to another in a validity
preserving way. Furthermore, we also suggest a measure to keep track of such
change.
