%0 Journal Article %T A note on some applications of -open sets %A Miguel Caldas %J International Journal of Mathematics and Mathematical Sciences %D 2003 %I Hindawi Publishing Corporation %R 10.1155/s0161171203203161 %X 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. %U http://www.hindawi.com/journals/ijmms/2003/362970/abs/