International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 2, Pages 125-130
doi:10.1155/S0161171203203161
A note on some applications of α-open sets
Miguel Caldas
Departamento de Matemática Aplicada, Universidade Federal Fluminense-IMUFF, Rua Mário Santos Braga s/n0, Niteroi CEP:24020-140, R.J., Brazil
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.