| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4660824 | Topology and its Applications | 2009 | 5 Pages |
Abstract
We characterize two topological properties in Banach spaces of type C(K), namely, being σ-fragmented by the norm metric and having a countable cover by sets of small local norm-diameter (briefly, the property norm-SLD). We apply our results to deduce that Cp(K) is σ-fragmented by the norm metric when K belongs to a certain class of Rosenthal compacta as well as to characterize the property norm-SLD in Cp(K) in case K is scattered.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
