Supercompactness of spaces of capacities and its consequences
Keywords:
supercompactness, capacity, Dugundji space, absolute retract
Published online:
2013-06-21
Abstract
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 this space is a Dugundji space.
How to Cite
(1)
Cherkovskyi, T. Supercompactness of Spaces of Capacities and Its Consequences. Carpathian Math. Publ. 2013, 5, 143-149.