| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4660721 | Topology and its Applications | 2009 | 13 Pages |
Abstract
We study conditions under which the Hausdorff quasi-uniformity UH of a quasi-uniform space (X,U) on the set P0(X) of the nonempty subsets of X is bicomplete.Indeed we present an explicit method to construct the bicompletion of the T0-quotient of the Hausdorff quasi-uniformity of a quasi-uniform space. It is used to find a characterization of those quasi-uniform T0-spaces (X,U) for which the Hausdorff quasi-uniformity of their bicompletion on is bicomplete.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
