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