| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4660001 | Topology and its Applications | 2009 | 5 Pages |
Abstract
Let M be a uniform space and X the Banach space of bounded and uniformly continuous functions from M into R, provided with its supremum norm.The aim of this paper is to discuss the connection between the geometry of X and the nature of M. In particular, we will prove that certain reconstructions of the unit ball of X by means of its extreme points admit a translation in terms of extension of uniformly continuous functions. We also analyze the impact of these properties on the Samuel compactification of M.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
