Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4660600 | Topology and its Applications | 2010 | 9 Pages |
Abstract
We characterize strong paracompactness in terms of usco multi-selections for closed-valued lower semi-continuous mappings into completely metrizable spaces, thus generalizing recent results obtained by Choban, Mihaylova and Nedev [M. Choban, E. Mihaylova, S. Nedev, On selections and classes of spaces, Topology Appl. 155 (2008) 797–804]. Related results and applications are achieved as well.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology