International Journal of Mathematics and Mathematical Sciences
Volume 2008 (2008), Article ID 145683, 8 pages
On -Images of Locally Separable Metric Spaces
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 -images of locally separable metric spaces
by means of covers having -property. As its application, we obtain characterizations
of compact-covering (sequence-covering, pseudo-sequence-covering, and sequentially quotient)
-images of locally sparable metric spaces.