F−open and F−closed sets in Topological Spaces

An open (resp., closed) subset A of a topological space (X, T ) is called F-open F-closed) set if cl(A)\A A\int(A)) finite set. In this work, we study the main properties these definitions and examine relationships between F-closed sets with other kinds such as regularly open, closed, sets. Then, establish some operators F-interior, F-closure, F-derived...etc., using At end introduce F-continuous function, F-compact space, related properties.