Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5778000 | Topology and its Applications | 2017 | 11 Pages |
Abstract
The present paper is devoted to study of the space of all weakly additive, order-preserving, normalized and positively-homogeneous functionals on a metric compactum. We construct an analogue of a modified Kantorovich-Rubinstein metric on the space OH(X) of all weakly additive, order-preserving, normalized and positively-homogeneous functionals on a metric compactum X. We prove that the functor OH is metrizable. We also show that for any metric compactum X the hyperspace exp(X) equipped with the Hausdorff metric can be isometrically embedded into OH(X).
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Gayratbay Djabbarov,