Operation pc-open sets and operation pc-separation axioms in bitopological spaces

Abstract

In the present paper, we introduce  new types of generalized closed sets called \emph{ij}-pre-generalized closed sets and study some
of their properties in~bi\-topological spaces.
Also, we use them to construct new types of separation axioms.
Further, we introduce and study the concepts of pairwise operation pc-open sets and pairwise operation pc-separation axioms in bitopological spaces. Several interesting characterizations of different spaces  are discussed. The relationships between these spaces are given.