Supercompactness of spaces of capacities and its consequences
It is proved that the space of normalized real-valued capacities on an openly generated compactum is an absolute retract. Existence of a normal binary subbase for closed subsets in the space of normalized lattice-valued capacities on an openly generated compactum is also shown, which implies that th...
Main Author: | |
---|---|
Format: | Article |
Language: | English |
Published: |
Vasyl Stefanyk Precarpathian National University
2013-06-01
|
Series: | Karpatsʹkì Matematičnì Publìkacìï |
Subjects: | |
Online Access: | https://journals.pnu.edu.ua/index.php/cmp/article/view/3663 |