| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4661042 | Topology and its Applications | 2008 | 8 Pages |
Abstract
In the present paper it is proved that the functor Oτ of τ-smooth order preserving functionals and the functor OR of Radon order preserving functionals, do not change the weight of infinite Tychonoff spaces. It is shown that the density and the weak density of infinite Tychonoff spaces do not increase under these functors. Moreover, if X is a metric space with the second axiom of countability then the spaces Oτ(X) and OR(X) are also metrizable.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
