International Journal of Mathematics and Mathematical Sciences 
Volume 2008 (2008), Article ID 145683, 8 pages
doi:10.1155/2008/145683
Research Article

On π-Images of Locally Separable Metric Spaces

Tran Van An1 and Nguyen Van Dung2

 1Department of Mathematics, Vinh University, 182 Le Duan, Vinh City, Vietnam
2Department of Mathematics, Pedagogical University of Dong Thap, Dong Thap, Vietnam
Received 7 June 2007; Revised 2 September 2007; Accepted 4 October 2007

Recommended by Sehie Park

Abstract

We characterize π-images of locally separable metric spaces by means of covers having π-property. As its application, we obtain characterizations of compact-covering (sequence-covering, pseudo-sequence-covering, and sequentially quotient) π-images of locally sparable metric spaces.