International Journal of Mathematics and Mathematical Sciences
Volume 2008 (2008), Article ID 145683, 8 pages
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

Academic Editor: Sehie Park

Copyright © 2008 Tran Van An and Nguyen Van Dung. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.