| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4661332 | Topology and its Applications | 2006 | 31 Pages |
Abstract
We consider completely regular Hausdorff spaces. In this paper we investigate the space of probability Radon measures P(X) on a space X and the property to be a Prohorov space. We prove that the space P(X) is sieve-complete if and only if X is sieve-complete. Every mapping generates the mapping . Some properties of the mapping P(φ) are studied. In particular, we investigate under which conditions the open continuous image of a Prohorov space is Prohorov.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
