| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4660982 | Topology and its Applications | 2008 | 9 Pages |
Abstract
A T1-space X is countably paracompact and collectionwise normal if and only if every l.s.c. mapping from X into a Hilbert space with closed and convex point-images has a continuous selection. This settles a conjecture posed by M. Choban, V. Gutev and S. Nedev [M. Choban, S. Nedev, Continuous selections for mappings with generalized ordered domain, Math. Balkanica (N.S.) 11 (1–2) (1997) 87–95].
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
