Article ID Journal Published Year Pages File Type
4660600 Topology and its Applications 2010 9 Pages PDF
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