A note on some applications of α ‐open sets

Source abstract

The object of this note is to introduce and study topological properties of α ‐derived, α ‐border, α ‐frontier, and α ‐exterior of a set using the concept of α ‐open sets. Moreover, we study some further properties of the well‐known notions of α ‐closure and α ‐interior. We also obtain a new decomposition of α ‐continuous functions.